Question

What is degrees measure of 7pi/15

Answer 1

7

π

15

Explanation:

To convert radians to degrees, multiply by

180

π

, since a full circle is

360

°

or

2

π

radians.

(

7

π

15

)

⋅

180

°

π

Cancel the common factor of

π

.

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7

15

⋅

180

1

Cancel the common factor of

15

.

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7

1

⋅

12

1

Simplify.

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84

Convert to a decimal.

84

°

Answer 2

84° will be its degree measure

Explanation:

We have been given a term
`(7\pi)/(15)`

When we need to convert any measure from radian to degree we multiply the required radian term by
`(180^(\circ))/(\pi)`

And similarly when we need to convert degree measure to radian we multiply the term with
`(\pi)/(180^(\circ))`

Here we will multiply the given term
`(7\pi)/(15)` with
`(180)/(\pi)` we will get
`(7\pi)/(15)\cdot (180)/(\pi)`

`\pi` will get cancel from numerator and denominator we will get
`(7\cdot180)/(15)` we will get 84

Hence,
`(7\pi)/(15)\Rightarrow 84^(\circ)`