Question

The circumference of a circle is 2π  cm. Then the area of a square inscribed in the circle is

A π /2 cm² Correct Answer Incorrect Answer
B 1 cm² Correct Answer Incorrect Answer
C 2 π cm² Correct Answer Incorrect Answer
D 2 cm² Correct Answer Incorrect Answer

Solution

2πr = 2 π ⇒ r = 2π /2π ⇒ r = 1 cm Diameter of the circle = 2 cm Diameter of the circle = Diagonal of the square = 2 ∴ Area of the square = 22/2 = 4/2 = 2 cm2

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