What is the area of the largest square which can be inscribed in a circle of radius 14 cm? (Take π = 22/7)
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 392 cm2
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Understanding |
Application |
Calculation |
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Diagonal of the largest square inside a circle will be equal to diameter of circle. |
Since, diameter = 28 cm Hence, Diagonal of square = 28 cm |
Diameter = 2r = 14 × 2 = 28 |
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Diagonal of square = a√2 (a = side) |
Hence, a√2 = 28 ⇒ a = 14√2 cm |
a√2 = 28 ⇒ a = 28/√2 ⇒ a = 14√2 |
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Area of square = (side)2 |
Side = 14√2 cm So, Area = 392 cm2 |
⇒ (14√2)2 ⇒ 392 |