Question

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
D
If the truck cleans the entire surface, how many square feet of ice will the truck clean?
Use 3. 14 for 2. Round your answer to the nearest tenth.
The truck wil 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