Question

The square has a side length of 10 ft and the circle inside the square has a diameter of 10 ft find the approximate area of the shaded region use 3.14 as an estimation for

Answer 1

`Area = 21.5ft^2`

Explanation:

See attachment

Given

Square:

`Length = 10ft`

Circle:

`Diameter = 10ft`

`\pi = 3.14`

Required: Calculate the area of the shaded region

First, calculate the area of the square:

`A_1 = Length^2`

`A_1 = (10ft)^2`

`A_1 = 100ft^2`

Next, the area of the circle.

`A_2 =\pi * (d^2)/(4)`

`A_2 =3.14 * (10^2)/(4)`

`A_2 =3.14 * (100)/(4)`

`A_2 =3.14 * 25`

`A_2 =78.5ft^2`

The shaded region has the following area

`Area = A_1 - A_2`

i.e. the difference between the area of the square and the area of the circle

`Area = 100ft^2 - 78.5ft^2`

`Area = 21.5ft^2`