Geometry · Grades 6–8 · by Math Curious

Circle Area

Why is the area of a circle πr²? Cut the circle into slices, unroll them, and the answer appears as a rectangle.

Slice it, unroll it

Choose the radius and the number of slices, then unroll the circle.

Circumference 2πr
Half of it, πr
Area πr²
Area = width × height = πr × r = πr²