InterviewSolution
Saved Bookmarks
| 1. |
A circle and a rectangle have the same perimeter. The sides of the rectangle are 12cm and 10 cm. What is the area of the circle?1). 80 cm22). 154 cm23). 22 cm24). 44 cm2 |
|
Answer» As we know, perimeter of a circle of radius r = 2πr And perimeter of a rectangle of length L and breadth B = 2 (L + B) ACCORDING to the given information: A circle and a rectangle have the same perimeter ∴ 2π r = 2 (L + B) Whereas, Length of the rectangle = 12 cm And breadth of the rectangle = 10 cm ∴ 2 × (22/7) × r = 2 × (12 + 10) = 44 ⇒ r = 7 Now, Area of the circle of radius r = π r2 ∴ (22/7) × 7 × 7 = 154 Hence, area of the circle is 154 cm2 |
|