Question

What fractional part of one semicircle does the label angel represent? Express your answer as a fraction in simplest terms. Then, express the labled angle in radian measure

Answer 1

Given: 225 degrees, one semicircle is 180 degrees or pi radians.

Answer:

- Fraction:

`(225)/(180)\Rightarrow(5)/(4)`

-Angle in radians:

`(5)/(4)*pi=(5(pi))/(4)\text{ radians or approximately 3.926 radians}`