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

Answer:

$Area = 21.5ft^2$

Step-by-step 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.

$A_2 =\pi * \frac{d^2}{4}$

$A_2 =3.14 * \frac{10^2}{4}$

$A_2 =3.14 * \frac{100}{4}$

$A_2 =3.14 * 25$

$A_2 =78.5ft^2$

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

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

$Area = 21.5ft^2$