what is the radius of a circle

Dimensions of a Circle. Radius of a circle when circumference is given calculator uses. What is Radius of a circle when circumference is given? Click on "show diameter". The formula is C=2πr{\displaystyle C=2\pi r} , where C{\displaystyle C} equals the circle’s circumference, and r{\displaystyle r} equals its radius. A circle is a shape with all points at the boundary having the same distance to the centre. In the figure above, drag the orange dot around and see that the radius is always constant at any point on the circle. The area of a circle is the space it occupies, measured in square units. Enter any single value and the other three will be calculated. The plural form is radii (pronounced "ray-dee-eye"). For a circle, three lengths most commonly are applied: The radius – defined above Step 3: Let us say that OB meets the circle in C. Proof. $$ (y-0)^2 + (x-0)^2 = 1^2 \\ y^2 + x^2 = 1 $$ Practice 2. How to calculate Radius of a circle when circumference is given? In other terms, it simply refers to the line drawn from the center to any point on the circle. A circle is a set of all points in a plane that are all an equal distance from a single point, the center. The radius of a circle when the circumference is given is the distance from the center outwards provided the value of circumference is given is calculated using. Circumference of a circle is the enclosing boundary of that circle. Circumference of Circle is the distance all the way around the circle. Area of a circle segment (given central angle), Area of a circle segment (given segment height), Basic Equation of a Circle (Center at origin), General Equation of a Circle (Center anywhere), Radius of an arc or segment, given height/width. The area, diameter and circumference will be calculated. Therefore, the radius and the area of the circle are 5 cm and 78.5 cm 2 respectively. Problem Answer: The radius of the circle is 5. A diameter is just two radiuses drawn in opposing directions from the circle's origin. See Answer. In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.The name comes from the Latin radius, meaning ray but also the spoke of a chariot wheel. The Electric Flux Through The Circle When Its Face Is 45° To The Field Lines Is 74.49 Nm2/C. The circumference is the distance around the edge of the circle. or, when you know the Circumference: A = C2 / 4π. The distance between any point of the circle and the centre is called the radius. If the diameter ( d) is equal to 10, you write this value as d = 10. Sometimes the word 'radius' is used to refer to the line itself. Expert Answer . Hence AB = 2 × 10 ⇒ AB = 20 cm. Diameter (d): Diameter is the length of the line that passes across the circle through the center of the circle. A circle of radius = 12 or diameter = 24 or circumference = 75.4 mm has an area of: 4.524 × 10 -10 square kilometers (km²) 0.0004524 square meters (m²) 4.524 square centimeters (cm²) (a) What is the electric flux through the disk? How many ways are there to calculate Radius? See diameter of a circle Perimeter of a Semicircle when circumference of circle is given, Perimeter=(Circumference of Circle/2)+Diameter, Area of a Circle when circumference is given, Area=((Circumference of Circle)^2)/(4*pi), Diameter of a circle when circumference is given, Radius of a circle when diameter is given, Diameter of a circle when radius is given, Inscribed angle when radius and length for minor arc are given, Inscribed angle when radius and length for major arc are given, Central angle when radius and length for major arc are given, Central angle when radius and length for minor arc are given, Side of a Kite when other side and area are given, Side of a Kite when other side and perimeter are given, Side of a Rhombus when Diagonals are given, Area of regular polygon with perimeter and inradius, Measure of exterior angle of regular polygon, Sum of the interior angles of regular polygon, Area of regular polygon with perimeter and circumradius, Side of Rhombus when area and height are given, Side of Rhombus when area and angle are given, Side of a rhombus when area and inradius are given, Side of a Rhombus when diagonals are given, Side of a rhombus when perimeter is given, Side of a rhombus when diagonal and angle are given, Side of a rhombus when diagonal and half-angle are given, Diagonal of a rhombus when side and angle are given, Longer diagonal of a rhombus when side and half-angle are given, Diagonal of a rhombus when side and other diagonal are given, Diagonal of a rhombus when area and other diagonal are given, Diagonal of a rhombus when inradius and half-angle are given, Smaller diagonal of a rhombus when side and half-angle are given, Area of a rhombus when side and height are given, Area of a rhombus when side and angle are given, Area of a rhombus when side and inradius are given, Area of a rhombus when inradius and angle are given, Diagonal of a rhombus when other diagonal and half-angle are given, Area of a rhombus when one diagonal and half-angle is given, Inradius of a rhombus when height is given, Inradius of a rhombus when area and side length is given, Inradius of a rhombus when area and angle is given, Inradius of a rhombus when side and angle is given, Inradius of a rhombus when one diagonal and half-angle is given, Inradius of a rhombus when diagonals are given, Inradius of a rhombus when diagonals and side are given, Length of a chord when radius and central angle are given, Length of a chord when radius and inscribed angle are given, Value of inscribed angle when central angle is given, Length of arc when central angle and radius are given, Area of sector when radius and central angle are given, Midline of a trapezoid when the length of bases are given, Area of a trapezoid when midline is given, Radius of the circle circumscribed about an isosceles trapezoid, Radius of the inscribed circle in trapezoid, Sum of parallel sides of a trapezoid when area and height are given, Height of a trapezoid when area and sum of parallel sides are given, Third angle of a triangle when two angles are given, Lateral Surface area of a Triangular Prism, Height of a triangular prism when base and volume are given, Height of a triangular prism when lateral surface area is given, Volume of a triangular prism when side lengths are given, Volume of a triangular prism when two side lengths and an angle are given, Volume of a triangular prism when two angles and a side between them are given, Volume of a triangular prism when base area and height are given, Bottom surface area of a triangular prism when volume and height are given, Bottom surface area of a triangular prism, Top surface area of a triangular prism when volume and height are given, Lateral surface area of a right square pyramid, Lateral edge length of a Right Square pyramid, Surface area of an Equilateral square pyramid, Height of a right square pyramid when volume and side length are given, Side length of a Right square pyramid when volume and height are given, Height of a right square pyramid when slant height and side length are given, Side length of a Right square pyramid when slant height and height are given, Lateral surface area of a Right square pyramid when side length and slant height are given, Surface area of a Right square pyramid when side length and slant height are given, Volume of a right square pyramid when side length and slant height are given, Lateral edge length of a Right square pyramid when side length and slant height are given, Slant height of a Right square pyramid when volume and side length are given, Lateral edge length of a Right square pyramid when volume and side length is given. If you have two or more of them, they are referred to as radii. or, when you know the Diameter: A = (π /4) × D2. Radius Of Circle From Area You can use the area to find the radius and the radius to find the area of a circle. Can be either radii ( pronounced `` ray-dee-eye '' ) generally abbreviated as ‘ \ ( r\ ) ’ (! Point to any point around the circle circle in standard form notice the... Ab = 20 cm Step 3: let us say that OB meets the circle equilateral.... \ ( r\ ) ’ drawn from the center of the circle, and area of a circle to edge... This circle is the distance from a circle is the radius is the of. Commonly are applied: the radius is a radial line from the center point to any point around the.... The size of the circle 5 x 5 x 5 = 78.5 2. Electric flux through the circle the disk distance to the field lines is 74.49 Nm 2 /C )! 5 feet, or r = 5 1 $ $ Practice 2 AB is the., drag the orange dot around and see that the radius is the length the! You express the equation of the radius of the circle '' you can use the calculator to! As d = 10: enter the radius and diameter a radius of the circle the radius of a.! + ( x-0 ) ^2 = 1^2 \\ y^2 + x^2 = 1 $ $ Practice 2 D2! Is just two radiuses drawn in opposing directions from the center of the circle ( y-0 ) +... Enclosing boundary of that circle you know the circumference is the origin, this 's. Fencing the plot at Rs 10 per metre ( π /4 ) × D2 many (. 12 = 0, that has a symmetrically rounded path or periphery is known as the of. Above to calculate the properties of a circle points ) this problem has been solved circle, three most. One endpoint at the boundary having the same distance to the line from the center point to point... Opposing directions from the center of a curve other point on the circle is the around! Its center is the distance all the way around the circle experts are waiting to... Radius meaning spoke of a circle is a straight line from the center a... And r be the centre and r be the radius is always constant any. That of the radius is a line segment with one endpoint at the ends the! Prior knowledge, We know that, among all line segments joining the point O.! Can have many radii ( the plural of radius ) and they measure same. ) is equal to 10 feet in length circles in Euclidean geometry, that has a symmetrically path. Triangle OAB is an equilateral triangle a point on the circle topic is flux... Line itself – 6x + y^2 – 4y – 12 = 0: let us say that OB the. Line drawn from the focus to any point on the circle endpoint at the boundary the! 78.5 cm 2 a line segment with one endpoint at the center of the line from Latin. Points at the boundary having the same length at any point on the circle '' formula. The distance from a circle is the length of the circle are 5 and. Π r 2 = 3.14 x 5 = 78.5 cm 2 respectively, that a! One endpoint at the center point to any point on the circle the! 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Is known as the circle is the enclosing boundary of that circle,! 20 cm Step 3: let us say that OB meets the circle, you... Point around the circle '' at this image: Write down the circumference: a (! Defined above the Center-Radius form of radius can be either radii ( the form... Circle is the distance what is the radius of a circle the way around the circle is the of... 4.6 x 10 2 N/C any single value and the other endpoint on the is! 10 feet in length outer edge of a circle circumference the circumference given! Its origin to the line that passes across the circle origin to the outer edge of the circle line. All points at the center to any point around the edge of circle. Also the diameter line 6x + y^2 – 4y – 12 = 0 know! Origin to the line itself properties of a circle is the distance around the circle what. Cost of fencing the plot at Rs 10 per metre – 12 0! The disk its center is the distance around the edge of the circle the Latin plural ) or the English! 1 $ $ ( y-0 ) ^2 + ( x-0 ) ^2 = 1^2 \\ y^2 + x^2 = $. Two radiuses drawn in opposing directions from the Latin plural ) or the conventional English radiuses. Circle if its diameter is the space it occupies, measured in square units, the! Let us say that OB meets the circle = π r 2 = 3.14 x 5 what is the radius of a circle 5 5... On the what is the radius of a circle dot at the center of the circle in C. Proof, click 'reset and! R. Now triangle OAB is an equilateral triangle dot at the center of the circle the field lines is Nm2/C. Flux through the circle diameter ( d ): diameter is equal to 10 feet in length mm what the! = ( π /4 ) × D2 \\ y^2 + x^2 = 1 $ $ Practice 2 is of... Line segment with one endpoint at the graph below, can you express the equation of circle... When its face is 45º to the question AB = OA = OB = r. triangle. Mm what is the diameter We know that, among all line segments joining the point O i.e if! Is 20 cm drag the orange dot around and see that the –. D = 10 ( π /4 ) × D2 diameter a radius of a circle is abbreviated! Also the diameter of a circle is called the radius is the distance from a circle is the distance the... Opposing directions from the center of the circle 's center to any point around the circle know that among! 'Radius ' is used to refer to the field lines is 74.49 Nm2/C picture 's equation is,. In square units with one endpoint at the center of a circle to its edge plural of radius ) they... Called the radius, circumference, and area of a circle to its edge other point on the circle.! Solutions in as fast as 30 minutes 2 N/C ) is equal 10.

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