Question

shawn creates a circular garden with a radius of 9.5 feet.

part a:
shawn encloses the garden with a fence.
using 3.14 for π, find the number of feet of fence shawn needs. ______ feet

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

Explanation:

Step1: Calculate fence length (circumference)

The formula for the circumference of a circle is $C=2\pi r$. Substitute $r=9.5$, $\pi=3.14$:
$C=2\times3.14\times9.5=59.66$

Step2: Find outer radius of walkway

Outer radius = inner radius + walkway width:
$R=9.5+3=12.5$

Step3: Calculate area of walkway

Walkway area = area of outer circle - area of inner circle. Use $A=\pi R^2-\pi r^2=\pi(R^2-r^2)$:
$A=3.14\times(12.5^2-9.5^2)=3.14\times(156.25-90.25)=3.14\times66=207.24$

Answer:

Part A: 59.66 feet
Part B: 207.24 square feet