Question

Find the exact circumference of a circle with the given radius.

3¼ inches
C =
A. 6.25 in.
B. 6.5 in.
C. 23.25 in.

Answer 1

Hello!

To find the circumference of a circle you use the equation

C = 2 \pi rC=2πr

C is circumference

r is radius

Put in the values we know

C = 2 *\pi *3 \frac{1}{4}C=2∗π∗341

Multiply the 2 and the 3 1/4

C = 6.5 \piC=6.5π

The answer is C = 6.5

Answer 2

`6.5\pi in` (B)

Explanation:

The circumference of a circle is the length of its perimeter, and it is given by the equation

`p=2\pi r`

where

r is the radius of the circle

In this problem, the radius of the circle is

`r=3(1)/(4)in`

Which is equivalent to

`r=(3\cdot 4 +1)/(4)=(13)/(4)=3.25 in`

Therefore, substituting into the equation, we find the circumference of the circle:

`p=2\pi r=2\pi (3.25)=6.5\pi in`

So, option B.