Multiple choice

The maximum area of the rectangle that can be inscribed in a circle of radius 2 units is _____.

  1. $8 \pi sq. units$
  2. $4 sq. units$
  3. $5 sq. units$
  4. $8 sq. units$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A rectangle inscribed in a circle has maximum area when it is a square. The diagonal of the square is the diameter of the circle (2 * radius = 4). If side is s, s^2 + s^2 = 4^2, so 2s^2 = 16, s^2 = 8. Area = s^2 = 8.

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