Question

The figure given below is made up of $2$ squares and $4$ similar quadrants What is the area of the shaded part? $(\text{Take}\pi =\frac{22}{7})$

• A. $42c{m}^2$
• B. $86c{m}^2$
• C. $128c{m}^2$
• D. $170c{m}^2$

Answer 1

The correct option is C $128c{m}^2$

The area of outer square $=18\times 18=324c{m}^2$ (given side of outer square $=18cm$)

The side of inner square $=18-2-2=14cm$

Then area of inner square $=14\times 14=196c{m}^2$

Then the area of the shaded part $=324-196=128c{m}^2$