What is the difference between the perimeteres of two concentric circl

1.	What is the difference between the perimeteres of two concentric circles is 66. find the difference between radius ?
Answer» The PERIMETER of cicle is given by P = 2πr. since the CIRCLES are concentric i.e. shares same centre the difference of the perimeter can be given as P₂ - P₁ = 2π(r₁ - r₂ ) ⇒ 66 = 2π(r₁ - r₂ ) ⇒ 66 = 2(22/7)(r₁ - r₂ ) ⇒ (66/22) = (2/7) (r₁ - r₂ ) ⇒ (3×7) = 2(r₁ - r₂ ) ∴ the difference in the RADIUS is given by (r₁ - r₂ ) = 21/2 ∴ (r₁ - r₂ ) = 11.5 units hope you will get this . For any DOUBT comment below.

What is the difference between the perimeteres of two concentric circles is 66. find the difference between radius ?

Answer»

The PERIMETER of cicle is given by P = 2πr.

since the CIRCLES are concentric i.e. shares same centre the difference of the perimeter can be given as

P₂ - P₁ = 2π(r₁ - r₂ )

⇒ 66 = 2π(r₁ - r₂ )

⇒ 66 = 2(22/7)(r₁ - r₂ )

⇒ (66/22) = (2/7) (r₁ - r₂ )

⇒ (3×7) = 2(r₁ - r₂ )

∴ the difference in the RADIUS is given by

(r₁ - r₂ ) = 21/2

∴ (r₁ - r₂ ) = 11.5 units

hope you will get this . For any DOUBT comment below.

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What is the difference between the perimeteres of two concentric circles is 66. find the difference between radius ?

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