Question

A circle with radius 3 has a sector with a central angle of 60°.

What is the area of the sector?

Either enter an exact answer in terms of

or use 3.14 for it and enter your answer as a decimal.

Answer 1

Answer:

4.71

Step-by-step explanation:

The radius of the circle is 3 and the angle of the sector is 60°.

The area of a sector is given as:

$A = \frac{\alpha }{360} * \pi r^2$

where α = central angle of sector

r = radius of circle

Hence, the area of the sector is:

$A = \frac{60}{360} * 3.14 * 3^2\\ \\A = \frac{1}{6} * 28.26\\\\A = 4.71$

The area of the sector is 4.71