How many degrees is 17/9 of a semicircle

Question

asked Nov 20, 2023 55.5k views

1 Answer

Gogaz · Answer 1 · 2023-11-26T20:34:31+0000

Answer:

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°