Question

What is the area of sector XYZ? Leave your answer in terms of π. The image is of a circle with center Y and radius 6 meters. An arc ZYX is drawn such that angle ZYX is 120 degrees.

Answer 1

The area of sector XYZ is 12 π meters^2

Explanation:

Mathematically, the area of a sector can be calculated using the formula;

angle/360 * π * r^2

here, the angle = 120 degrees and r = 6m

Plugging these values, we have

120/360 * π * 6^2

1/3 * π * 36

= 12 π meters^2