7.9: Radian/Degree Measure
Name: ______________________________
1. Label the following protractor in radians using fractions involving pi. You should label
the angle measures every 10° from 0° to 180°.
2. Convert each angle measure to radians or degrees based on what you are given.
𝜋
a. 100° = _____ Rad
g. 270° = _____ Rad
d. = _____ Deg
3
b. 30° = _____ Rad
c. 225° = _____ Rad
e. 5𝜋 = _____ Deg
f.
5𝜋
4
=_____ Deg
h. 90° = _____ Rad
i.
150° = _____ Rad
3. Below, a circle is drawn on a coordinate plane. Each point is spaced 10° apart. Use the
diagram to draw an angle measure of 500°. Then, using a different color, draw an angle
measure of 140°. What do you notice?
Start Here
4. Use the given information to find the desired values:
෡ . Then, find the
Find the exact length of 𝐽𝐿
radian measure that goes with the angle of
125°.
Find the exact area of the small sector, and
the exact arc length.
5. Consider the sectors and arc lengths in the two circles below to answer the following:
̂.
a. Find the exact length of 𝐺𝐻
e. Find the radian measure of 135° from each
circle.
̂.
b. Find the exact length of 𝑅𝑋
̂ to 𝑅𝑋
̂?
f. What is the ratio of 𝐺𝐻
c. Find the exact area of the small sector
in ⨀𝐹.
d. Find the exact area of the small sector
in ⨀𝑇.
g. What is the ratio of the areas of the
two sectors from ⨀𝐹 to ⨀𝑇?