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3 years ago

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

Mathematics

1 answer:

Kobotan [32]3 years ago

6 0

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 $\frac{C}{30}=\pi$

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