The perimeter of a circle is 440cm. Find the side of square inscribed the circle.
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Step-by-step explanation:
Circumference of circle = 2πr, where r is the radius of circle.
⇒ 2πr = 440
∴ r = 440/2π = 70 cm
⇒ Diameter of the circle = 2r = 140 cm
Diameter of circle = Diagonal of the square
⇒ √2a = 140
∴ a = 140/√2
⇒ Area = a2 = 9800 cm2
Answered by
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Answer:
•Circumference of circle = 2πr, where r is the radius of circle
2πr = 440
∴ r = 440/2π = 70 cm
•Diameter of the circle = 2r = 140 cm
•Diameter of circle = Diagonal of the square
⇒ √2a = 140
∴ a = 140/√2
⇒ Area = a² = 9800 cm²
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