Answer:
Total area of the gray sections of the target is 678 square inches.
Step-by-step explanation:
Given :
Three concentric circles and we have to find the total area of the gray sections.
Area of white circle having radius 1 foot.
⇒ Area of the white circle - Area of the smaller gray circle.
⇒
⇒
⇒ <em> ...1 foot = 12 inches and 0.5 foot = 6 inches</em>
⇒
⇒
⇒ 339.12 square inches
The total area of the gray sections is the area of the bigger gray circle minus the area of the white circle.
Total area of the gray sections:
⇒
⇒ <em> ....where 1.5 foot = 18 inches</em>
⇒
⇒ square inches.
≅ 678 square inches.
The total area of the gray sections of the target, to the nearest square inch is 678.
Option C is the right choice.