Question

A circular pond is surrounded by a path 2 m wide. If the total area (pond + path) is 616m² and the pond area is 452.16 m², what is the radius of the pond?

• A. 10m
• B. 11m
• C. 12m
• D. 13m

Answer 1

Answer:

C. 12m

Let the radius of the pond be (r) m.

We are given pond area:

$\pi r^2 = 452.16$

Using $(\pi = 3.14)$:

$r^2 = \frac{452.16}{3.14}$
$r^2 = 144$
$r = \sqrt{144} = 12$

Final Answer

$\boxed{12 \text{ m}}$