Question

Q. IV
Find the area of the shaded region in the given figure.
21 cm

Answer 1

Answer:

The area of the shaded portion is 94.5 sq. cm

Step-by-step explanation:

Area of shaded portion = Area of the square - the area of the circle

Step 1: Find the area of the square.

Side of square = diameter of the circle

= 21 cm

Area of square = Side × side

= 21 × 21

=441 sq. cm

Step 2: Find the area of the circle

r = d/2 = 21/2

The area of the circle

$= \pi r^2\\= \frac{22}{7} \times \frac{21}{2}\times \frac{21}{2}\\=\frac{11 \times 3 \times 21}{2} \\= \frac{693}{2} \\= 346.5 sq. cm$

Step 3: Find area of the shaded portion

Area of shaded portion = Area of the square - the area of the circle

= 441 - 346.5

= 94.5 sq. cm

Answer 2

Answer:

Step-by-step explanation: