Answer:
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