The cardioid is traced once as varies from to

MATHEMATICS · Subjective · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

The cardioid r=1+cos⁡θr=1+\cos\theta is traced once as θ\theta varies from 00 to π\pi. Express the length of the curve on this interval as a definite integral in terms of θ\theta. Do not evaluate.

Related theory

Browse the problem library