Radian Measure Answers
An angle measures Seven-ninths Pi radians. What is the degree measure of the angle?
Which of the following did you include in your explanation?
inches
125.7
How many radians is -135°?
An angle measures 4.3 radians. To the nearest degree, what is the measure of the angle? degrees
246
Compare an angle having a measure of 120° with that of an angle whose measure is StartFraction 5 pi Over 6 EndFraction radians. Explain your reasoning.
120° is smaller than 5π/6 radians. Converting 120° to radians gives 2π/3 radians, and 2π/3 < 5π/6.
A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of StartFraction 2 pi Over 3 EndFraction
What is the approximate length of arc s on the circle?
rotations
4
An angle measures radians. What is the degree measure of the angle?
How many radians is -135°?
An angle measures 4.3 radians. To the nearest degree, what is the measure of the angle? degrees
246
Compare an angle having a measure of 120° with that of an angle whose measure is radians. Explain your reasoning.
To compare the two angles, convert them to the same unit. To convert 120° to radians, multiply by π/180°, which gives 2π/3 radians. To compare 2π/3 and 5π/6, use a common denominator: 2π/3 = 4π/6. Since 4π/6 is less than 5π/6, 120° is smaller than 5π/6 radians. Alternatively, converting 5π/6 radians to degrees: (5π/6) * (180°/π) = 150°. Since 120° is less than 150°, 120° is smaller than 5π/6 radians.
A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of
What is the approximate length of arc s on the circle?
A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.Using 3.14 for , what is the length of the radius of the circle? inches
rotations
4
2 pi 4 pi 8 pi
Which of the following did you include in your explanation?
Did you find these answers helpful?
TRY EDGENUITY HACKS
- Auto Complete Exams
- Auto Complete Assignments
- Skip Videos Instantly