Question

A sector with a central angle measure of 7pi/4 (in radians) has a radius of 16 cm

Answer 1

Answer:

Area of sector = 704 cm ²

Step-by-step explanation:

Given:

Central angle = 7pi/4 (in radians)

Radius = 16 cm

Find:

Area of sector = ?

Computation:

Central angle = $\frac{7}{4}\pi \times \frac{180}{\pi } =315$

$Area\ of \ sector=\frac{\theta}{360}\pi r^2\\\\Area\ of \ sector=\frac{315}{360}\pi 16^2\\\\Area\ of \ sector=704 cm^2$

Area of sector = 704 cm ²