Question

12 the area of a circular pond is 5.3 square metres. what is the radius of the pond? answer correct to one decimal place.

Explanation:

Set up the area equation

$$ A = \pi r^2 $$

$$ 5.3 = \pi r^2 $$

Solve for the radius

$$ r^2 = \frac{5.3}{\pi} $$

$$ r = \sqrt{\frac{5.3}{\pi}} \approx \sqrt{1.68704} \approx 1.29886\text{ m} $$

Round to one decimal place

$$ r \approx 1.3\text{ m} $$

Answer:

\(1.3\text{ m}\)