Question

What is the area of the shaded sector if the radius of circle Z is 5 inches?

Answer 1

We first calculate the area of the whole circle the formula for the area of a circle is

`A=\pi r^2`

r is the radius in this case r=5

we substitute the value

`A=\pi5^2=25\pi`

then we divide 120 between 360 in order to find the ratio of the shaded area

`(120)/(360)=(1)/(3)`

we multiply the number above by the area of the whole circle to obtain the shaded area,

`SA=25\pi\cdot(1)/(3)=(25\pi)/(3)`