Question

Find the Area of shaded region if area of circle inscribed in square is 154 cm2.

• A. 45 sq.cm
• B. 42 sq.cm
• C. 51 sq.cm
• D. 50 sq.cm

Answer 1

Answer:

B. 42 sq.cm

Given:

The area of a circle inscribed in a square is 154 cm²

Formula used:

Area of square = (side)²

The perimeter of the square = $4\times{side}$

Calculation:

Area of circle $= 154 cm^2$

(Radius of circle)² $= 154\times{\frac{7}{22}}$

Radius of circle = 7 cm

Diameter of circle $= 7 \times{2}$

⇒ 14 cm

As per figure,

Diameter of circle = side of a square

Side of a square = 14 cm

Area of square$= 14\times{14}$

⇒ 196 sq cm

Area of shaded region = 196 - 154

⇒ 42 sq.cm

∴ The Area of shaded region is 42 sq.cm.