Question

Find the area (in $c{m}^2$) of the yellow region where the square has a side measuring 14 cm.

• A. $42c{m}^2$
• B. $45c{m}^2$
• C. $48c{m}^2$
• D. $50c{m}^2$

Answer 1

The correct option is A $42c{m}^2$

From the figure, 2d = 14 $\Rightarrow$ r = 3.5 cm
Total area of 4 circles $=4\times \pi \times {3.5}^2=4\times \frac{22}{7}\times 3.5\times 3.5=154$
Area of square $={14}^2=14\times 14=196c{m}^2$

The area of yellow portion is $=196-154=42c{m}^2$