Radian Measure
How many radians is -135°?
-3/4 π
Convert -18° to radians.
-π/10 radians
What is -36° converted to radians?
-π/5
_____, where 0 is the measure of the central angle in radians, s is the arc length, and r is the length of the radius.
0 = s/r
How long is the arc intersected by a 2π/3 radian central angle in a circle with radius 7 feet?
14π/3 feet
How long is the arc intersected by a central angle of π/4 radians in a circle of radius 20 inches.
15.7 inches
What is 5π/6 radians converted to degrees? If necessary, round your answer to the nearest degree.
150°
How many degrees are in a semicircle?
180°
To convert from radians to degrees multiply the radian measure by _____.
180°/π radians
A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2π/3
20.94 inches
What is 4 radians converted to degrees? If necessary, round your answer to the nearest degree.
229°
An angle measures 4.3 radians. To the nearest degree, what is the measure of the angle?
246°
There are 360° or _____ radians in a full circle.
2π
A point travels halfway around a wheel with a radius of 1 foot. To the nearest foot, how many feet does it travel?
3 feet
Angles can be measured in _____.
degrees or radians
Use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercepting an arc of 21 cm. The angle has a measure of _____ radians.
1.75
If a clock had a minute hand is 8 inches long, how far will the tip of the minute hand travel when it moves from 12:00pm to 12:15 pm?
12.56 inches
The minute hand of the clock is 5 inches long. How far does the tip of the minute hand move in 4 full rotations? Calculate your answer using the pi button on your calculator and round to the nearest tenth of an inch.
125.7
An angle measures 7/9 π radians. What is the degree measure of the angle?
140°
How many degrees are in a full circle?
360°
What is the equivalent radian measure of 540°?
3π radians
Which of the following are in the correct order from least to greatest?
3π/10, 60°, π/2, 2π/3, 255°
How many complete rotations does the minute hand of a clock make as it moves from 12:00 noon to 4:00 p.m.?
4
What is the approximate length of arc s on the circle?
52.36 inches
Convert 1 radian to degrees. Round your answer to the nearest degree.
57°
A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q?
7/5
A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches. Using 3.14 for π, what is the length of the radius of the circle?
75 inches
Which expression converts 8 radians to degrees?
8 * 180°/π
What is the total radian measure of the angle the minute hand travels in 4 full rotations?
8π
How many degrees are in a quarter circle?
90°
What is the formula for the circumference of a circle?
C = 2πr
A _____ is an angle formed by two radii.
central angle
One _____ is the measure of a central angle that intersects an arc of length equal to the radius.
radian
Which equation gives the length of an arc, s, intersected by a central angle of 3 radians in a circle with a radius of 4 in.?
s = 4*3
What is the radian equivalent for 180°?
π radians
To convert from degrees to radians multiply the degree measure by _____.
π radians/180°
