Question

What is the measure of o

Answer 1

Answer:

D

Step-by-step 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 $\theta$:

$s=r\theta\\20=5\theta\\\theta=\frac{20}{5}\\\theta=4$

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

D is the correct answer choice.