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

Question

asked Oct 15, 2019 163k views

2 Answers

Streetsoldier · Answer 1 · 2019-10-21T03:00:44+0000

Answer:

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
$145\°$

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