The concentric circles, or growth rings, represent the cross-section of a tree with a diameter of 16 centimeters. The width of the outer tree ring measures 2 centimeters. What is the area in square centimeters of the outer ring of the cross-section of the tree? Use 3.14 for p.i.

does 88 seem correct?

actually I got 87.92 but thank you

yeah that's what i got but i just rounded because of the sig figs

To find the area of the outer ring of the cross-section of the tree, you can subtract the area of the inner circle from the area of the outer circle. The area of a circle can be calculated using the formula:

Area = π * radius^2

The diameter of the tree is given as 16 centimeters, so the radius of the outer circle would be half of that, which is 8 centimeters.

The radius of the inner circle would be the radius of the outer circle minus the width of the outer ring, which is 2 centimeters. So the radius of the inner circle would be 8 centimeters - 2 centimeters = 6 centimeters.

Now you can calculate the area of the outer circle and the inner circle.

Area of the outer circle = π * (8 cm)^2

Area of the inner circle = π * (6 cm)^2

Subtracting the area of the inner circle from the area of the outer circle will give you the area of the outer ring.

Outer ring area = Area of the outer circle - Area of the inner circle
= π * (8 cm)^2 - π * (6 cm)^2
= π * (64 cm^2) - π * (36 cm^2)
= π * (64 cm^2 - 36 cm^2)
= π * (28 cm^2)
= 3.14 * 28 cm^2
= 87.92 cm^2

Therefore, the area of the outer ring of the cross-section of the tree is approximately 87.92 square centimeters.