College of Admission Tests Multan

Perimeter and Area

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 2

The side length of a square inscribed in a circle is 2. What is the area of the circle?
  • π
  • areaperi03 -88930608
  • areaperi04 -38741696
  • π2

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Correct Answer: C

The diagonal of a square inscribed in a circle is a diameter of the circle. The formula for the diagonal of a square is areaperi06 -91704320. Hence, the diameter of the circle inscribing the square of side length 2 is areaperi07 -38328400. Since radius = diameter/2, the radius of the circle is areaperi08 -11897463. Hence, the area of the circle is π × radius2 = areaperi09 -97359856

The answer is (C).