Text A circular sector has radius 999 cm and central angle 100∘100^\circ100∘. Compute its area. Solution The area of a sector is A=θ360∘ πr2\mathcal A=\dfrac{\theta}{360^\circ}\,\pi r^2A=360∘θπr2: A=100360⋅π⋅81=518⋅81π=452π≈70.69 cm2.\mathcal A=\frac{100}{360}\cdot\pi\cdot 81=\frac{5}{18}\cdot81\pi=\frac{45}{2}\pi\approx70.69\ \text{cm}^2.A=360100⋅π⋅81=185⋅81π=245π≈70.69 cm2. A=452π≈70.69 cm2\boxed{\mathcal A=\tfrac{45}{2}\pi\approx70.69\ \text{cm}^2}A=245π≈70.69 cm2