Question

The radius of the circle shown below is 9 inches. What is the approximate length of DE

Answer 1

22.8 in is the answer.

Answer 2

Option A

`22.8\ in`

Explanation:

we know that

The circumference of a circle is equal to

`C=2\pi r`

where

r is the radius of the circle

In this problem we have

`r=9\ in`

substitute

`C=2\pi(9)`

`C=56.5\ in`

Remember that

`360\°` subtends the complete circle of length
`56.5\ in`

so

by proportion

Find the approximate length of DE for an arc measure of
`145\°`

`(56.5)/(360)=(x)/(145) \\ \\360*x=145*56.5\\ \\x=145*56.5/360\\ \\x= 22.8\ in`