The perimeter of a square and a circle are same. If the area of the circle is 1386cm , then what will be the area of the square?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1089 cm2
| Understanding | Application |
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The perimeter of a square and a circle are same Let side of square = a 4a = 2πr (given) πr2 = 1386 (given) 22 × r2/7 = 1386 r2 = 63 × 7 = 441 r = 21 4a = 2πr 4a = 2 × 22 × 21/7 4a = 132 , a = 33 Area of the square = 33 × 33 =1089cm2
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Perimeter of circle = 2πr Perimeter of square = 4 × side Area of the square = a2 Area of the circle = πr2
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