Question

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

Answer 1

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.

⇒ $\pi R^2-\pi r^2$

⇒ $\pi (R^2-r^2)$

⇒ $\pi (12^2-6^2)$                   ...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.