Question

Q. 4) In figure, P is the centre of a circle, segment
OA = 14V.2 and seg AP and segment OP are
radii. Then find the area of the shaded region.
1) 616 sq. unt
2) 462 sq. unt
A А
3) 308 sq. unt
4) 693 sq. unt
14 2​

Answer 1

Answer:

Area of the shaded portion is 42 cm².

Step-by-step explanation:

Given:-

PQRS is a square of side 14 cm.

Talking P, Q, R and S as centres four circles are drawn. (of same radius)

Find:-

Area of the shaded portion.

Solution:

Area of square = (side)²

⇒ 14 × 14

⇒ 196 cm²

Now,

Diamter of each circle is 14 cm. Means, radius of circle is half of diameter.

So, radius of circle = 7 cm

Area of four quadrants of circle = 4 × (Area of quadrant of circle)

⇒ 4 × 1/4 × πr²

⇒ 4 × 1/4 × 22/7 × 7 × 7

⇒ 22 × 7

⇒ 154 cm²

Area of shaded region = Area of square - Area of four quadrants of circle.

Substitute the known values above

⇒ (196 - 154) cm²

⇒ 42 cm