Question

The area of circle C is 9 $\pi$ sq. units. The area of square PQRS is _____ sq. units.

• A. 24
• B. 36
• C. 30
• D. 64

Answer 1

The correct option is B

36

Given that,
area of circle C = $9\pi$ sq. units
We know that area of circle = $\pi r^2$
where r is the radius
$\Rightarrow 9\pi =\pi r^2$
$\Rightarrow$ r = 3 units

Side of square PQRS = Diameter of the circle C = 2r = 6 units
Area of square PQRS
$=(sideofsquarePQRS{)}^2$
$=(6{)}^2=36sq.units$