The measurement of a rectangle is 16 feet by 12 feet. What is the area of the smallest circle that can cover this rectangle entirely (so that no part of the rectangle is outside the circle)?

Question: The measurement of a rectangle is 16 feet by 12 feet. What is the area of the smallest circle that can cover this rectangle entirely (so that no part of the rectangle is outside the circle)?

Solution:

Diameter of the circle = √(16²+12²)
= √(256 + 144)
= √400
= 20 feet

Radius of the circle = 20/2 = 10 feet

∴ Area of the circle = π × 10² = π ×100 = 100π sq feet.