Question

A circular path of 3 m width runs around a circular park with radius 8 m. What is the area of the path?

• A. 179.07 m²
• B. 131.09 m²
• C. 138.02 m²
• D. 144.05 m²

Answer 1

Answer:

A. 179.07 m²

A circular park has radius 8 m, and a circular path of width 3 m runs around it.

Step 1: Outer radius

$R = 8 + 3 = 11 \text{ m}$

Inner radius:
$r = 8 \text{ m}$

Step 2: Area of path (ring)

$\text{Area} = \pi (R^2 - r^2)$
$= \pi (11^2 - 8^2)$
$= \pi (121 - 64)$
$= \pi \times 57$

Step 3: Final value

$= 57\pi \approx 57 \times 3.14 = 178.98$

Final Answer:

Area of the path = $(57\pi , \text{m}^2 \approx 179.09 , \text{m}^2)$