Question

Match each angle measure in degrees with its equivalent measure in radians

Answer 1

Hm..

Explanation:

Answer 2

To convert angle from radian measure to degree measure, multiply it by 180/π.

So,
a) 5π/4 in degree measure will be:


`(5 \pi )/(4)* (180)/( \pi ) = 225`

So, 5π/4 radian is equal to 225°.

b) 9π/5 in degree measure will be:


`(9 \pi )/(5)* (180)/( \pi ) = 324`

So, 9π/5 radian is equal to 324°.

c) 2π/3 in degree measure will be:


`(2 \pi )/(3)* (180)/( \pi ) = 120`

So, 2π/3 radian is equal to 120°.

d) 4π/9 in degree measure will be:


`(4 \pi )/(9)* (180)/( \pi ) = 80`

So, 4π/9 radian is equal to 80°.

e) 5π/6 in degree measure will be:


`(5 \pi )/(6)* (180)/( \pi ) = 150`

So, 5π/6 radian is equal to 150°.

f) 7π/4 in degree measure will be:


`(7 \pi )/(4)* (180)/( \pi ) = 315`

So, 7π/4 radian is equal to 315°.