Question

A circular flower bed is 16m in diameter and has a circular sidewalk around it that is 3 m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi .

Answer 1

Answer:

$178.98\ \text{m}^2$

Step-by-step explanation:

d = Diameter of flower bed = 16 m

Thickness of sidewalk = 3 m

r = Radius of flower bed = $\dfrac{d}{2}=\dfrac{16}{2}=8\ \text{m}$

R = Radius of flower bed with sidewalk = $8+3=11\ \text{m}$

The required area is given by

$A=\pi(R^2-r^2)\\\Rightarrow A=3.14\times (11^2-8^2)\\\Rightarrow A=178.98\ \text{m}^2$

The radius of the sidewalk is $178.98\ \text{m}^2$.