This circle has a circumference of 56. What is the radius of the circle?
The problem involves circumference, not area.
C = 2 pi r
56 = 2 pi r
28/pi = r = 8.91
C = pi * r^2
56 = 3.14 * r^2
56/3.14 = r^2
17.834394 = r^2
4.223 = r
The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the circumference is 56, so the equation would be:
56 = 2πr
To find the radius, we can rearrange the equation as:
r = 56 / (2π)
Using a calculator to approximate the value of π as 3.14, we can calculate the radius:
r ≈ 56 / (2 * 3.14)
r ≈ 56 / 6.28
r ≈ 8.92
So, the radius of the circle is approximately 8.92.
To find the radius of a circle given its circumference, you can use the formula:
Circumference = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is 56. Therefore, we can set up the equation as:
56 = 2πr
To find the radius, we need to isolate it on one side of the equation. Divide both sides of the equation by 2π:
56 / (2π) = r
Using a calculator, you can evaluate the right side of the equation to get the numerical value for the radius. The approximate value for π is 3.14159, so the calculation becomes:
56 / (2 * 3.14159) ≈ r
Simplifying the calculation, we get:
56 / 6.28318 ≈ r
Thus, the radius of the circle is approximately 8.91472.