Question

Find the area of the shaded region in the figure given below.

• A. $48.56m^2$
• B. $49.85m^2$
• C. $50.75m^2$
• D. $52.68m^2$

Answer 1

The correct option is C $50.75m^2$

Given, Diameter = 7 m
Hence, radius = 7/2 m

Now,
Area = Area of the rectangle - Area of the semicircle

= (l $\times$ b) - (½)𝜋r${}^2$

= (10$\times$7) - (½ )$\times$(22/7)$\times$ $(7/2{)}^2$

= 70 - 19.25

= 50. 75

= 50.75 m${}^2$

Hence, area of shaded region is $50.75m^2$.