Question

part b
shawn builds a brick walkway
around the the garden. the walkway
is 3 feet wide.
using 3.14 for π, find the
approximate number of square
feet shawn will need to cover with
brick.

Explanation:

Step1: Calculate the area of the larger circle

The radius of the larger circle \( R=9.5 + 3=12.5\) ft.
The area formula for a circle is \(A=\pi R^{2}\).
Substitute \(R = 12.5\) and \(\pi=3.14\) into the formula:
\(A_{1}=3.14\times(12.5)^{2}=3.14\times156.25 = 490.625\) square - feet.

Step2: Calculate the area of the smaller circle

The radius of the smaller circle \(r = 9.5\) ft.
Using the area formula \(A=\pi r^{2}\), substitute \(r = 9.5\) and \(\pi = 3.14\):
\(A_{2}=3.14\times(9.5)^{2}=3.14\times90.25=283.385\) square - feet.

Step3: Calculate the area of the walk - way

The area of the walk - way (the area to be covered with brick) is \(A=A_{1}-A_{2}\).
\(A=490.625-283.385 = 207.24\) square - feet.

Answer:

\(207.24\)