# Radius of a circle from circumference

Another important ratio, radius to diameter, can also be used to calculate the circumference. One-half of a circle's diameter is known as the radius. As a result, we may use the replacement attribute of equality to replace radius, r, in our formulae. We can substitute diameter with 2r if two radii are equivalent to one diameter.

The commutative property of multiplication allows us to transfer values around as well. The following four equations are interchangeable:

C= π d

C = π (2r)

C = 2 πr

Understand this concept by practice with an example.

Example: A national team field's striking circle is a quarter-circle with a 32-yard radius, followed by a four-yard straight line and another quarter circle. Two of these eye-catching circles can be found on the pitch. You only have enough chalk left to form a 222-yard line after marking all the straight lines with chalk.

Solution:

Add the two, four-yard straight sections to the circle's circumference to get the total length.

Consider your options before taking a glance!

Four quarter-circles equal one 32-yard-radius circle. Then, for the two straight sections, add sixteen yards.

C=πd

C=2πr

C=2 x 3.14159 x 32yards

C = 2 x 3.14159 x 32 yards

C = 200.96 yards

Combine the two following: 200.96 yards+ 16 yards=216.96 yards

## What is the circumference of a circle

The distance around the perimeters of a circle is known as the circumference of a circle. The length of the edge around a circle is known as the circumference of the circle. To further understand this notion, consider the following diagram. Consider the example of a circular playground in the …

## Circumference of a circle formula

A circle’s circumference is its perimeters. The equation for determining a circle’s circumferenceCircumference of a circle = π×dC = π×dC = 2πr The following equations relate it to its diameter, radius, and pi. “C” stands for the circumference of the circle “d” is the diameter of the circle.“ π” is …

## What is the formula for the circumference of a circle

The radius 'r' of a circle and the value of 'pi' are used in the formula for calculating the circumference of a circle. Circumference of a circle formula = 2r is one way to express it. If we don't know the radius value, we can use the diameter to find …

## How to find the circumference of a circle

The circumference of a circle is the length of its boundary, it cannot be determined with the help of a scale-line. This is attributable to the fact that a circle is a curvy figure. Therefore, we calculate the circumference of the circle with the help of the circumference formula.Circumference of …

## How to calculate the circumference of a circle

Although the circumference of a circle is proportional to the length of its boundary, it cannot be calculated using a ruler (scale) like other polygons. This is attributable to the fact that a circle is a curvy figure. As a result, we utilize a formula that uses the radius or …

## How to get the circumference of a circle

We would know either the diameter or the radius of a circle to calculate its circumference. Then, in this equation, we utilize the proper value: C=2πr (of course, "r" stands for radius).As we know, the formula for finding the circumference of a circle equals pi time diameter. C=π dJust like, …

## How to measure the circumference of a circle

Eratosthenes was the first person who measures the circumference of Earth. He was a Greek mathematician, in 240 B.C. He discovered that objects in a city on the Northern Tropic don’t throw a shadow at noon on the summer solstice, but they do in a more northerly location. By knowing …

## How to find circumference of a circle with diameter

Circumference of a circle is the distance around the circle and the diameter over circle is the line segment of a circle is the line segment used and point lies on the circle and that pass through the center of the circle so yellow lines in the diagram will be …

## Circumference of a circle with diameter

We can find the radius of a circle by measuring the distance from its center to its outside edge. Consider a clock: if one of the hands was long enough to reach the edge of the dial, this hand could be considered the clock's radius – regardless of the time!The …

## How to find the area and circumference of a circle

A circle is the set of all points in a plane that are a fixed distance from a fixed point, called the center, and are separated by a fixed distance, called the radius. A circle's perimeter, or distance around it, is its circumference (C). A circle's area (A) is the …

## How to find area of a circle with circumference

The region surrounded by the circle itself, or the region covered by the circle, is called the area of a circle. The area of a circle on a two-dimensional surface is the area occupied by the circle.. The area of a circle can be calculated using the following formula:A=π This …

## Examples about circumference of a circle

Example:&nbsp;A rectangular wire has a 132-meter perimeter. A circle is formed by twisting the same wire. The circumference formula can be used to calculate the radius of a circle.Solution:The perimeter of the rectangle equals the total length of the wire utilized, which equals the circumference of the circle produced.As a …