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

Question

asked Oct 25, 2023 158k views

1 Answer

Pooria Azimi · Answer 1 · 2023-10-31T21:43:50+0000

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

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

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