Question

30 points for this A special truck cleans the surface of the ice rink shown. The figure is composed of a square and two semicircles.

85 ft
85 Ft
If the truck cleans the entire surface, how many square feet of ice will the truck clean?
Use 3.14 for . Round your answer to the nearest tenth.
The truck will clean about
square feet of ice

Answer 1

12897 square feet

Explanation:

So first find the area of the square:

85 * 85 = 7225

Then, the two semi circles together is a full circle. Use the circle area formula,

A = πr^2

The radius (r) would be half the diameter of the circle. The diameter of the circle would be 85. So half of that is 42.5. The radius is 42.5

Now:

A = π(42.5)^2

A = 3.14(42.5)^2

A = 3.14(1806.25)

A = 5671.625

Lastly, add the two areas up for the square and circle:

7225 + 5671.625 = 12896.625

Round to nearest tenth: 12897