Understanding Radians and Conversions

Practice Questions

High School Math › Understanding Radians and Conversions

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1

How many radians are in $270^\circ$ ?

2

If Angle equals $72^{\circ}$ , what is the equivalent angle in radians (to the nearest hundredth)?

3

If angle equals $136^{\circ}$ , what is the equivalent angle in radians (to the nearest hundredth)?

4

What is the value of the angle $\frac{3\pi}{2}$ radians when converted to degrees?

5

A point has Cartesian coordinates . Rewrite this as an ordered pair in the polar coordinate plane, rounding the coordinates to the nearest hundredth.

6

How many degrees are in $\frac{\pi}{3}$ radians?

7

How many degrees are in $\frac{8\pi}{3}$ radians?

8

If $\angle A$ equals $45^{\circ}$ , what is the equivalent angle in radians (to the nearest hundredth)?

9

If $\angle B$ is $275^{\circ}$ , what is the equivalent angle in radians (to the nearest hundredth)?

10

How many degrees are in $\frac{3\pi}{4}$ radians?

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