The area of a circle that can be inscribed in a square of side $6\text{ cm}$ is:
$36\pi\text{ cm}^2$
$18\pi\text{ cm}^2$
$12\pi\text{ cm}^2$
$9\pi\text{ cm}^2$
Step-by-Step Solution
Key Concept: Diameter of inscribed circle $=$ side of square $= 6\text{ cm} \Rightarrow r = 3\text{ cm}$.
Stepwise Solution:
Radius $r = 6/2 = 3\text{ cm}$. Area $= \pi r^2 = \pi (3)^2 = 9\pi\text{ cm}^2$. [1.0 Mark]
Marking Scheme:
• Finding radius $r = 3\text{ cm}$ and area $= 9\pi\text{ cm}^2$: 1.0 Mark
Correct Answer: $9\pi\text{ cm}^2$