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,

$\begin{gathered} \frac{Number}{\text{Total}}\times100=\frac{240}{360}\times100=66.67 \\ \end{gathered}$

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

c) The fraction of the circle shaded is,

$\frac{240}{360}=\frac{2}{3}$

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