A square is circumscribed about a circle of 7-foot radius

A square is circumscribed about a circle of 7-foot radius, as shown below. What is the area of the square, in square feet?

  1. 49
  2. 56
  3. 98
  4. 49π
  5. 196

Answer

The correct answer is E.

To find the area of a square circumscribed about a circle with a radius of 7 feet, you need to find the side length of the square.

Because the diameter of the circle is the distance between 2 opposite sides of the square, the side length of the square is twice the radius, 2(7), or 14 feet.

To find the area of the square, you square the side length, 142, to get 196 square feet.