The dimensions of a rectangle are 24 cm and 16 cm. If the circumfer

1.	The dimensions of a rectangle are 24 cm and 16 cm. If the circumference of the circle is 110% of the perimeter of rectangle, then what will be the area of the circle?1. 550 cm22. 792 cm23. 616 cm24. 921 cm25. 587 cm2
Answer» Correct Answer - Option 3 : 616 cm² Given: The dimensions of the rectangle are 24 cm and 16 cm. The circumference of the circle = 110% of the perimeter of rectangle. Formula Used: Perimeter of the rectangle = 2 × (length + breadth) Circumference of the circle = 2πr Area of the circle = πr² Where r = radius of the circle Calculation: Circumference of the circle = 110% of Perimeter of the rectangle ⇒ 2πr = (110/100) × 2 × (24 + 16) ⇒ 2 × (22/7) × r = (11/10) × 2 × 40 ⇒ r = (11 × 2 × 40 × 7)/(10 × 2 × 22) ⇒ r = 14 Area of the circle = πr² ⇒ (22/7) × 14² ⇒ 22 × 2 × 14 ⇒ 616 ∴ Area of the circle is 616 cm².

The dimensions of a rectangle are 24 cm and 16 cm. If the circumference of the circle is 110% of the perimeter of rectangle, then what will be the area of the circle?1. 550 cm22. 792 cm23. 616 cm24. 921 cm25. 587 cm2

Answer» Correct Answer - Option 3 : 616 cm²

Given:

The dimensions of the rectangle are 24 cm and 16 cm.

The circumference of the circle = 110% of the perimeter of rectangle.

Formula Used:

Perimeter of the rectangle = 2 × (length + breadth)

Circumference of the circle = 2πr

Area of the circle = πr²

Where r = radius of the circle

Calculation:

Circumference of the circle = 110% of Perimeter of the rectangle

⇒ 2πr = (110/100) × 2 × (24 + 16)

⇒ 2 × (22/7) × r = (11/10) × 2 × 40

⇒ r = (11 × 2 × 40 × 7)/(10 × 2 × 22)

⇒ r = 14

Area of the circle = πr²

⇒ (22/7) × 14²

⇒ 22 × 2 × 14

⇒ 616

∴ Area of the circle is 616 cm².

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