Angle Measures in Degrees and Radians

Practice Questions

Pre-Calculus › Angle Measures in Degrees and Radians

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1

Determine the value of $225^\circ$ in radians.

2

Find the length of an arc of a circle if the radius is and the angle is $\frac{\pi}{4}$ radians.

3

Convert $660^{\circ}$ to radians.

4

Determine the value of $225^\circ$ in radians.

5

Find the length of an arc of a circle if the radius is and the angle is $\frac{\pi}{4}$ radians.

6

Convert $660^{\circ}$ to radians.

7

Find the area of a sector with the radius of 1 and angle of $\frac{\pi}{3}$ .

8

Find the arc length of a circle with circumference $10\pi$ that goes from to $135^\circ$ around its center.

9

If circle has a radius of ${}\frac{5}{\pi}$ fathoms and sector has a central angle of $\pi$ . What is the measure of arc ?

10

If circle has a radius of ${}\frac{5}{\pi}$ fathoms and sector has a central angle of $\pi$ . What is the measure of arc ?

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