A Target consists of three concentric circles with the same center.

The radii of the circles have lengths of 3 inches, 7 inches and 9 inches.
The 7 inch radii spacing is shaded.
(To the nearest percent,)
What percent of the target is shaded?

To find the percentage of the target that is shaded, we need to calculate the shaded area relative to the total area of the target.

First, let's calculate the area of each individual circle:

The area of a circle can be found using the formula A = πr^2, where A is the area and r is the radius.

For the circles in the target, we have:
- Circle 1: radius = 3 inches, so the area = π(3^2) = 9π square inches
- Circle 2: radius = 7 inches, so the area = π(7^2) = 49π square inches
- Circle 3: radius = 9 inches, so the area = π(9^2) = 81π square inches

Now, let's calculate the area of the shaded region. Since Circle 2 is shaded, we need to subtract the area of Circle 2 from the total area of the target.

Total area of the target = Sum of the areas of all three circles
= 9π + 49π + 81π
= 139π square inches

Shaded area = Total area of the target - Area of Circle 2
= 139π - 49π
= 90π square inches

To find the percentage of the target that is shaded, divide the shaded area by the total area of the target, and then multiply by 100:

Percentage shaded = (Shaded area / Total area of the target) × 100
= (90π / 139π) × 100
= (90/139) × 100
≈ 64.75%

Therefore, to the nearest percent, approximately 64.75% of the target is shaded.

assuming you meant that the region between the 3" circle and the 7" circle is shaded,

(7^2-3^2)/9^2 = (49-9)/81 = 40/81 = 49%