What is the measure of o

Question

asked Dec 25, 2020 92.6k views

1 Answer

Sam Buckingham · Answer 1 · 2020-12-29T09:40:34+0000

Answer:

D

Explanation:

We need the formula for arc length (in radians) to solve this problem. The formula is:

$s=r \theta$

Where

s is the arc length

r is the radius of the circle

$\theta$ is the intercepted angle

In this diagram, we can see that
$\theta$ is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20

Also, if we look, we see that the radius is 5 cm, so r = 5

Now, we substitute into formula and find
$\theta$ :

$s=r\theta\\20=5\theta\\\theta=(20)/(5)\\\theta=4$

This is given in radians, so
$\theta$ is 4 radians

D is the correct answer choice.