area of a circle = 𝜋𝑟2

Area of a Circle - Derivations

Derivation #1

Area of Circle = base * height Area of Circle = circumference/2 * 𝑟 Area of Circle = 𝜋𝑟2

Derivation #2

Adding up areas of concentric circles: Area of Circle = area of a right triangle Area of Circle = (1/2) * base * height Area of Circle = (1/2) * 𝑟 * 2𝜋𝑟 Area of Circle = 𝜋𝑟2