Question

A circular park having a radius of 14 m. If a 1.5 m wide path is built around it, what is the approximate area of the path?

• A. 139 m²
• B. 135 m²
• C. 142 m²
• D. 150 m²

Answer 1

Answer:

A. 139 m²

Radius of park = 14 m
Width of path = 1.5 m

Outer radius = (14 + 1.5 = 15.5) m

Area of path = area of outer circle − inner circle:

$\pi(15.5^2 - 14^2)$

Now calculate:

$15.5^2 = 240.25,\quad 14^2 = 196$
$240.25 - 196 = 44.25$

So,

$\text{Area} = 44.25\pi \approx 44.25 \times 3.14$
$\approx 138.9$

Therefore, the approximate area of the path is 139 m².