Question

Please help! What fractional part of one semicircle does the labeled angle represent? Express

your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure.
225°

Answer 1

Fraction: 5/8
Radians: 5pi/4 Radians
Explanation:

1A Fraction
A circle has a total of 360 degrees, in order to solve the first part we must use this preknowledge.
As we are given 255 degrees, we simply order a fraction:
Degrees Given/360 Hence,

255/360

Simplify

5/8
1B Radians

In order to convert degrees to radians we use a simple trick, we must multiply the degree measure (225) by pi/180 because a full circle = 2pi radians or 360 degrees hence,

225 x pi/180

Simplify

5pi/4 radians