An arc PQ of a circle of radius R subtends an angle at the centre of circle

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

An arc PQ of a circle of radius R subtends an angle

\theta

at the centre of circle. If

A(\theta)

is the area bounded by the chord and the arc and

B(\theta)

is the area bounded by tangent at P & Q with the arc. Find

\lim_{\theta \rightarrow 0} \frac{A(\theta)}{B(\theta)}