Vault Of Euclid

Area of a Cardioid

Parametric equations and vector functions core

Find the area inside the cardioid defined by the equation \(r = 1 - \cos \theta\).

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What you need first

Integration of trigonometric functions
Trigonometric identities
Evaluating definite integrals

What this problem tests

Tests the ability to set up a polar area integral and evaluate it using trigonometric identities.

This is a standard problem in Calculus II when introducing integration in polar coordinates.

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