Question

What is the exact angle measure in radians? 510° A. 6/17*π B.17/6*π C.5/6*π D.6/5*π

Answer 1

17/6 π

:):):):):):)

Answer 2

`510\degree=(17\pi)/(6)`

Explanation:

We want to convert
`510\degree` to radian measure.

To convert from degree measure to radian measure, we multiply by

`(\pi)/(180\degree)`.

This implies that:

`510\degree=510\degree * (\pi)/(180\degree)`.

`510\degree=30\degree*17 * (\pi)/(6* 30\degree)`.

We cancel out the common factors to obtain;

`510\degree=17 * (\pi)/(6)`.

`\Rightarrow 510\degree=(17\pi)/(6)`

The correct answer is B.