Question

Find the area of the shaded region where PQRS is a
square of side 20 cm. (Take r = 3.14)
(A) 175 cm2
(C) 173 cm2
(B) 174 cm
(D) 172 cm?​

Answer 1

Answer:

Area of the shaded region A= 171.43 cm² ≈172 cm²

Step-by-step explanation:

Answer 2

The area of shaded region is "(D) 172 $cm^{2}$".

Step-by-step explanation:

Given,

Side of square = 20 cm,

∴ Area of the square = 20 × 20 = 400 $cm^{2}$

∵ Side of square = Diameter of semicircle = 20 cm

∴ Radius of semicircle = 10 cm

Area of semicircle = $\frac{\pi r^{2} }{2}$

$= 4\frac{\pi (10)^{2} }{4}$$cm^{2}$

= $100\times 3.14 = 314 cm^{2}$

∴ The area of the shaded region  PQRS = 172  $cm^{2}$