Question

11.2.11

A farmer created a crop circle that is a square inside a
circle. The square contains the crop of wheat, and the part
outside the square is flat. The circle has a radius of 22
meters, and the square has a side length of 31 meters.
What is the area of the flat region within this crop circle?
r=22 m
31 m
Use
3.14.

Answer 1

Area of Flat region is 558.76 sq. m.

Explanation:

Given:

radius of circle r = 22 m

Side of the square = 31 m

We need to find the area of the flat region within this crop circle.

Now Given that Square is inside the circle and also the flat part which is outside the square and inside the circle.

Hence We can say that;

Area of Flat region will be equal to Area of Circle minus Area of Square.

So First we will find the Area of Circle and Area of square.

Area of Circle =
`\pi r^2`

Substituting the values we get

Area of Circle =
`3.14* 22* 22 = 1519.76\ m^2`

Area Of Square =
`side^2`

Substituting the value we get;

Area of Square =
`31* 31 = 961\ m^2`

Area of Flat region = Area of Circle - Area Of Square = 1519.76 - 961 = 558.76 sq. m.

Hence Area of Flat region is 558.76 sq. m.