Question

The area of a circle is 22 sq. m. Find the twice of its diameter.
1. 4√7 m
2. 2√7 m
3. 3√7 m
4. 7√7 m

Answer 1

Correct Answer - Option 1 : 4√7 m

Given

Area of circle = 22 sq.m = 22 m²

Formula used

Area of circle = πr²

Where r is radius of the circle

Diameter = 2 × radius

Calculations

Area of circle = πr²

⇒ 22 = (22/7)r²

⇒ r² = (22 × 7)/22

⇒ r = √7 m

Diameter = 2 × √7m

= 2√7 m

Twice of diameter = 2 × 2√7m

= 4√7 m

∴ The twice of diameter is 4√7 m.