Question

The radius of a circle is 15. Using π, which equation expresses the ratio of the circumference to the diameter of a circle?

Answer 1

Answer:

The equation which expresses the ratio of the circumference to the diameter of a circle is  $\frac{C}{30}=\pi$ ⇒ D

Step-by-step explanation:

π is the ratio between the circumference of the circle and the length of its diameter

$\frac{C}{d}=\pi$ , where

• C is the circumference of the circle
• d is the diameter of the circle

∵ The circumference of the circle is C

∵ The radius of the circle is 15 units

∴ r = 15 units

- Find the diameter of the circle

∵ The diameter of the circle d = 2 r

∴ d = 2(15) = 30 units

∴ The diameter of the circle is 30 units

∵ $\frac{C}{d}=\pi$

∵ d = 30 units

∴ $\frac{C}{30}=\pi$

The equation which expresses the ratio of the circumference to the diameter of a circle is  $\frac{C}{30}=\pi$