Question

Find the area of the shaded sector. Leave your answer in terms of pie

Answer 1

Area of shaded region = 3.14 in²

Explanation:

Formula:-

Area of circle = πr²

Where 'r' is the radius of circle

It is given a circle with radius 2 in.

To find the area of circle

Here r = 2 in

Area = πr² = 3.14 * 2² = 12.56 in²

To find the area of shaded region

Here central angle of sector = 90°

area of sector= (90/360) * area of circle

= (1/4)12.56 = 3.14 in²

Answer 2

The area of the shaded sector is

`Area =\pi \: {in}^(2)`

EXPLANATION

The area of a sector is calculated using the formula,

`Area = (central \: angle)/(360 \degree) \: * \pi \: {r}^(2)`

Fro the diagram, the central angle is 90°

The radius of the circle is 2 in.

`Area = (90 \degree)/(360 \degree) \: * \pi \: {2}^(2) {in}^(2)`

`Area = (1)/(4) \: * \pi \: 4 {in}^(2)`

This finally simplifies to

`Area =\pi \: {in}^(2)`