Question

a. what is the angle of shaded area in degrees b. what percent of circle is shaded.c. what fraction of the circle is shaded

Answer 1

a) The total central angle of a circle is 360 degrees.

Therefore, the angle of the shaded area is,

`360^(\circ)-120^(\circ)=240^(\circ)`

Therefore, the angle of the shaded area is 240 degrees.

b) The percent of the circle shaded is,

`\begin{gathered} \frac{Number}{\text{Total}}*100=(240)/(360)*100=66.67 \\ \end{gathered}`

Therefore, the percent of the circle shaded is 66.67%.

c) The fraction of the circle shaded is,

`(240)/(360)=(2)/(3)`

Therefore, the fraction of the circle shaded is 2/3.