Question

How do you write the degree measure over 360 to find the fraction of the circle given `270^circ`?

Answer 1

See a solution process below:

Explanation:

We can write the fraction as:

`270^o/360^o`

We can then reduce this fraction as:

`(27color(blue)(cancel(color(black)(0)))^color(red)(cancel(color(black)(o))))/(36color(blue)(cancel(color(black)(0)))^color(red)(cancel(color(black)(o)))) => 27/36 = (9 xx 3)/(9 xx 4) = (color(red)(cancel(color(black)(9))) xx 3)/(color(red)(cancel(color(black)(9))) xx 4) = 3/4`

`270^o" is " 3/4` of a circle.