Posted by **Palma** on Friday, December 28, 2007 at 3:07pm.

Benny wants to plant a garden around the base of a tree. To determine the amount of topsoi needed, he measured the circumference of the tree and found it to be 9.5 ft. His garden will be 2.0 feet wide in the form of a ring around the tree. Find to the nearest square ft. the surface area of the garden Benny intends to plant

- Math -
**Damon**, Friday, December 28, 2007 at 3:15pm
the circumference of the inner circle is 9.5 feet which is 2 pi Rtree where Rtree is the radius of the tree.

From that find

Rtree = 9.5 /(2*pi)

then you can find the area of the tree cross section

Atree = pi Rtree^2

Then

the outer radius of the path is

Rout = Rtree + 2

and the area of the big circle, which includes the tree cross section is:

pi Rout^2

the difference is the area of the garden

pi(Rout^2 - Rtree^2)

## Answer this Question

## Related Questions

- Math - 1. Jenny is building a rectangular garden around a tree in her yard. The ...
- geometry - Jenny is building a rectangular garden around a tree in her yard. The...
- math - A child’s kite is on top of a straight pine tree. A ladder is placed ...
- math - A child’s kite is on top of a straight pine tree. A ladder is placed ...
- Math - Angela measured 2 trees in her front yard.Tree A is 5m. Tree B is 200 cm ...
- math - From 70 feet away from the base of a tree on level ground, the angle to ...
- Physics - On level ground, you stand 21.0m from the base of a tree and determine...
- Math - The kingston parks and recreation dept. is planning a new that will be ...
- Math Help - Mieko, who is 1.53 m tall, wishes to find the height of a tree. She...
- Math - Helen stands 66 m away from the base of the tree. If the line of sight ...

More Related Questions