Question

Which of the following ratios in a circle is equal to pi?

A. circumference to radius

B. radius to circumference

C. diameter to circumference

D. circumference to diameter

Answer 1

D. circumference to diameter

Explanation:

For any circle, the formula for circumference is C=pi*d. So to solve for pi, we can divide by d on both sides to get C/d = pi.

Answer 2

Answer: Option D

Explanation:

By definition we know that the circumference of a circle is:

`C=2\pi r`

Where the radius of the circle is r.

And the diameter of a circle is twice the radius:

`D=2r`

Where the radius of the circle is r.

The ratio can be written as:

`a:b` or
`(a)/(b)`

Rewriting the ratio of circumference to diameter and simplitying, you get:

`ratio=(2\pi r)/(2r)\\\\ratio=\pi`

Therefore, the ratio in a circle that is equal to π is: Circumference to diameter.