Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch

A = 31.4 inches^2 to the nearest tenth of a square inch

Step-by-step explanation:

In this question, we are asked to calculate the area of the sector of a circle given the value of the radius and the angle subtended at the centre.

To calculate this, we employ a mathematical approach.

The area of the sector of a circle can be calculated as follows

A = ϴ/360 * π * r^2

Where ϴ is the angle subtended which is 100 and r is the radius.

Thus, we have

A = 100/360 * 22/7 * 6 * 6

A = 31.428 inches^2

To the nearest tenth of a square inch, A = 31.4 inches^2