PQRS is a rectangle whose area is 70 square cm. The length of the rectangle is 9 cm more than its breadth. The perimeters of the rectangle and that of a circle are in the ratio of 19 : 66. What is the area of the circle in square cm ?

1086 cm²
1386 cm²
1286 cm²
1186 cm²
None

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : 1386 cm2

Concept:

The area of rectangle = (Length × Breadth) of the rectangle.

Calculation:

Let the breadth of the rectangle is x and length of the rectangle is (x + 9)

⇒ x × (x + 9) = 70, x = 5, length = 14

⇒ The perimeter of rectangle = 2 × (14 + 5) = 38 cm

⇒ The perimeter of circle = 2 × π × r = (66 × 38) ÷ 19

⇒ r = 21 cm

⇒ The area of circle = π × r² = (22/7) × 21 × 21 = 1386 square cm

∴ The required result will be 1386 cm²

4 views Answered 2022-09-04 04:29

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