Question

a circular garden with a radius of 20 meters is surrounded by a walkway that measures 1 meter in width.
find the area of the walkway to the nearest hundredth. use 3.14 for π.
enter the correct answer in the box.
show hints
□ m²

Explanation:

Step1: Find outer radius

The outer radius is the garden radius plus walkway width: $20 + 1 = 21$ m

Step2: Calculate area of outer circle

Use circle area formula $A=\pi r^2$:
$\pi \times 21^2 = 3.14 \times 441 = 1384.74$ $\text{m}^2$

Step3: Calculate area of inner garden

$\pi \times 20^2 = 3.14 \times 400 = 1256$ $\text{m}^2$

Step4: Subtract to find walkway area

Subtract inner area from outer area: $1384.74 - 1256 = 128.74$ $\text{m}^2$

Answer:

128.74 $\text{m}^2$