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

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

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.

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