A special truck cleans the surface of the ice rink shown below. The figure is composed of a square and two semicircles. If the truck cleans the entire surface, how many square meters of ice will the truck clean? Use 3.14 for pi. Rou d your answer to the nearest tenth

Respuesta :

Answer:

1,660.5 m²

Step-by-step explanation:

The question is as shown at the attached figure.

At first we should know that:

The area of square of side length l = l²

The area of circle of radius r = πr²

As shown, The figure is composed of a square and two semicircles.

The square has a side length = 30.5 m

Each semicircle has a diameter 30.5 m

So, the radius = half of the diameter = 0.5 * 30.5 = 15.25 m

So, the area of the square = 30.5² = 930.25 m²

The area of one semicircle = 0.5 πr² = 0.5 * 3.14 * 15.25² = 365.123 m²

∴ Total area = 930.25 + 2 * 365.123 = 1,660.5 m² (to the nearest tenth)

So, the truck will clean 1,660.5 m² of ice.

Ver imagen Matheng

The area is 1660.41.

Geometry

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

The combination of circle and rectangle of length, width, and radius are 30.5, 30.5, and 15.25.

To find

The area of the geometry.

How to find the area of geometry?

Area = Area of rectangle and area of two semi-circle

Length = 30.5

Width = 30.5

Radius = 15.25

Then

[tex]\rm Area = lenght * width + 2(\dfrac{1}{2}* \pi* radius^{2} )\\\\Area = 30.5*30.5 + \pi* 15.25^{2} \\\\Area = 930.25 + 730.16\\\\Area =1660.41[/tex]

Thus the area is 1660.41.

More about the geometry link is given below.

https://brainly.com/question/7558603

ACCESS MORE