find the area of this ring to the nearest square unit. Show your work.

The image shows a ring, the inside raius is 2.0m, and the outside radius is 3.2m. The area of the ring is...
plz help!! thx.

First, let's get the outside area.

A = pi * r^2
A = 3.14 * 10.24
A = 32.1536

Now, the inside area:

A = 3.14 * 2^2
A = 12.56

Subtract:

32.1536 - 12.56 = ?

wow. ur really good! =) thank you!

You're welcome. :-)

Combine like terms, in this case simplify to multiply:

3.2^2pi its 10.24pi
2^2pi its 4pi

then subtract like terms
(10.24 - 4) pi = 6.24pi
~19.59SqU (Square Units)

What is the square unit of 239.28

To find the area of the ring, we need to subtract the area of the small circle (inside the ring) from the area of the larger circle (outside the ring).

First, let's calculate the area of the smaller circle using the formula for the area of a circle: A = π * r^2, where r is the radius.

Radius of the smaller circle (inside radius) = 2.0m
Area of the smaller circle = π * (2.0)^2 = 4π square meters

Next, let's calculate the area of the larger circle using the same formula:

Radius of the larger circle (outside radius) = 3.2m
Area of the larger circle = π * (3.2)^2 = 10.24π square meters

Now, to find the area of the ring, we subtract the area of the smaller circle from the area of the larger circle:

Area of the ring = Area of the larger circle - Area of the smaller circle
= 10.24π - 4π
= 6.24π square meters

To find the area to the nearest square unit, we need to evaluate the numerical value of the area using an approximation for π. Let's use 3.14 as an approximation for π:

Area of the ring ≈ 6.24 * 3.14
≈ 19.54 square meters

Therefore, the area of the ring to the nearest square unit is approximately 20 square meters.