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The circumference of a circle is 440 cm. The area of square inscribed in the circle is:
- A9750 cm2
- B9720 cm2
- C9600 cm2
- D9800 cm2
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CCommunity
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
⇒ 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