Question

An angle's terminal ray sweeps out 169 degrees, and then an additional 1.5 radians.This angle sweeps out what percent of a full rotation? %   What is the radian measure of this angle? radians   What is the degree measure of this angle? degrees

Answer 1

Input Data

An angle's terminal ray sweeps out 169 degrees, and then an additional 1.5 radians.

Procedure

A.

First let's convert radians to degrees

`1.5\text{ rad}\cdot(180)/(\pi)=86\~`

The total swept angle would be

`169+86=255`

A full rotation is equal to 360

`(255)/(360)=70.83\text{ \%}`

B.

Now let's convert the total angle in radians

`255\cdot(\pi)/(180)=4.45\text{ rads}`

C.

The angle in degrees is 255°