1. Measuring Angles

How many radians is $105°$?

How many radians are in half of a circle?

What is the total radian measure of the angle the minute hand travels in $4$ full rotations?

What is $720°$ converted to radians?

Concept Check If the radius of a circle is doubled, how is the length of the arc intercepted by a fixed central angle changed?

How many radians are in a quarter of a circle?

Given a circle with center $O$ and radius $r$, and an arc $AB$ that subtends an angle $\theta$ at the center such that the length of arc $AB$ is $s$, what is the radian measure of angle $\theta$?

If the measure of central angle RST is $\theta$ radians in a circle of radius $r$, what is the area of the shaded sector if $r=4$ and $\theta =2$?

Which of the following lists all the exact solutions in radians to the equation $\sin x=0$?

How many radians is $216°$?

If the measure of central angle $ABC$ in a circle of radius $6$ units is $\frac{1}{2}$ radians, what is the area of the shaded sector?

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). ―300°

Find the area of a sector of a circle having radius r and central angle θ. Express answers to the nearest tenth. See Example 5.

r = 12.7 cm, θ = 81°