Question

What is the measure of o

Answer 1

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.