Question

A circular logo of radius 14 cm is fitted perfectly inside a square plaque. Find the area of unused square space around the circle.

• A. 168 cm²
• B. 56 cm²
• C. 161 cm²
• D. 64 cm²

Answer 1

Answer:

A. 168 cm²

The circle is fitted perfectly inside the square, so:

• Radius of the circle = 14 cm

• Diameter = Side of the square = 28 cm

Step 1: Area of the square

$\text{Area of square}=28^2=784\ \text{cm}^2$

Step 2: Area of the circle

$\text{Area of circle}=\pi r^2=\frac{22}{7}\times14^2$
$=\frac{22}{7}\times196=616\ \text{cm}^2$

Unused area

$\text{Unused area}=784-616=168\ \text{cm}^2$

Answer

$\boxed{168\ \text{cm}^2}$