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Question

A circle is inscribed in a square as shown. If the radius of the circle is 4 cm, what is the area of the remaining square? (Use π=227)


  1. 14 cm2

  2. 13.63 cm2

  3. 13.72 cm2

  4. 14.28 cm2


Solution

The correct option is C

13.72 cm2


Since the radius of the circle is 4 cm, the length of the square's side will be the diameter of the circle which is 8 cm.

Area of square =8×8=64 cm2
Area of circle =227×4×4=50.28 cm2

Area of the remaining square = 64 - 50.28 = 13.72 cm2

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