Question

How many degrees is 17/9 of a semicircle

Answer 1

340°

Explanation:

To convert radians to degrees, multiply by
`(180)/(\pi )` since a full circle is 360° or

2
`\pi` radians.

`((17)/(\pi ) )` x
`(180)/(\pi )`

Factor
`\pi` out 0f 17
`\pi`

`(\pi (17))/(9)` x
`(180)/(\pi )`

Cancel the common factor "
`\pi`"

Rewrite the expression as:

`(17)/(9)` x 180

Factor 9 out of 180.

`(17)/(9)` x(9(20))

Cancel out the common factor "9"

Rewrite the expression as:

17 x 20

=340°