Question

A memento is made as shown in the figure. Find the area of the region in the triangle excluding the part cut by the circle.

• A. $138.20c{m}^2$
• B. $161.5c{m}^2$
• C. $133.567c{m}^2$
• D. $108.97c{m}^2$

Answer 1

Answer: (B)

$161.5c{m}^2$

Required area $=$ Area of triangle $-$ Area of sector

$=\frac{1}{2}\times 20\times 20-\frac{{90}^0}{{360}^0}\times \frac{22}{7}\times 7\times 7$

$=\frac{400}{2}-\frac{77}{2}=\frac{323}{2}$

$=161.5$ ${cm}^2$