Question

Find the area of the shaded sector. Radius of 2 inches and angle of 90* Leave your answer in terms of π.

8π in2

2π in2

π in2

4π in2

Answer 1

is ¼ circle area so

¼π2² in² = π in²

Answer 2

π inches
`^(2)`

Explanation:

We are given a circle with radius 2 inches and one quarter of it as the shaded area and we are to find the area of this shaded region.

For that, we can simply calculate the area of the circle and divide it by 4 since we are to find the area of a quarter.

Area of circle =
`\pi r^2` =
`\pi (2)^2 = 4\pi`

Area of the shaded region =
`(4\pi )/(4) =` π inches
`^(2)`