Question

find the radius of circle if a rectangle with side 14 m length and 11 m breadth has area equal to that of circle.​

Answer 1

Answer :-

The radius of circle = 7cm.

Step-by-step explanation:

Given that,

• Area of rectangle = Area of circle.
• The sides of rectangle are 14m length and 11m breadth.

∴ The area of rectangle :-

We know,

Area of rectangle = length × breadth.

⇒ length × breadth

⇒ 14m × 11m

⇒ 154m²

Hence, The area of circle is also 154m².

Now, finding the radius of circle :-

We know,

Area of circle = πr²,

A . T . Q,

⇒ πr² = Area

⇒ π × r² = Area

⇒ 22/7 × r² = 154

⇒ r² = 154 × 7/22

⇒ r² = 1078/22

⇒ r² = 49

⇒ r² = 7 × 7

⇒ r = 7cm.

⠀ ⠀⠀∴ The radius of circle is 7cm.