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1. David has designed a lawn game that uses a circular center target with alternating gray and

white rings. The circles used to make the target have radii of 0.5 foot, 1 foot, and 1.5 feet.

1.5 ft

What is the total area of the gray sections of the target, to the nearest square inch?

A 452 square inches

B. 565 square inches

C 678 square inches

D. 1017 square inches

1 Answer

4 votes

Answer:

Total area of the gray sections of the target is 678 square inches.

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.


\pi R^2-\pi r^2


\pi (R^2-r^2)


\pi (12^2-6^2) ...1 foot = 12 inches and 0.5 foot = 6 inches


3.14(144-36)


3.14(108)

⇒ 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:


\pi R^2 - 339.12


3.14(18^2) -339.12 ....where 1.5 foot = 18 inches


1017.36-339.12


678.24 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.

1. David has designed a lawn game that uses a circular center target with alternating-example-1
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