Which formula represents the area of a circle?

• A. A=2πr
• B. A=1/2 bh
• C. A=πr^2
• D. C=2πr

Answer: (C)

Area measures how much space is inside a shape. For a circle, that space grows with the radius, and it increases with the square of the radius. The formula A = πr^2 captures that idea by multiplying π by the radius times itself. Here, r is the distance from the center to the edge, and π is the constant ratio of a circle’s circumference to its diameter. Because area scales with r^2, this formula correctly gives larger areas for larger circles. The alternative 2πr gives the circumference, the distance around the circle, while 1/2 bh is the area of a triangle. So A = πr^2 is the right representation of a circle’s area.