Question

What is the area of a sector when theta = 15º and r = 4

Answer 1

Answer:

2.09 sq. units

Step-by-step explanation:

We can simply use the formula for area of a sector of a circle.

Area of sector = $\frac{\theta}{360}*\pi r^2$

Where  $\theta$ is the angle and r is the radius.

It is given that the angle is 15 and radius is 4. We plug them in and find the area:

$\frac{\theta}{360}*\pi r^2\\=\frac{15}{360}*\pi (4)^2\\=\frac{1}{24}*16\pi\\=2.09$

Thus area of sector is 2.09  sq. units.