Question

A track has the shapes shown. what is the perimeter ?

Answer 1

Break this problem down first. You have two lines each with length of 5. You also have two halves of a circle, combine them to get a full circle with a radius of 2. The formula to find the perimeter of a circle is

`2\pi * r`
and this gives a perimeter of 12.566 for the circle. Add this to your sides and you get a total of 22.566 which is answer B

Answer 2

Based on the shape shown in the diagram, the perimeter of the track is: B. 22.566.

How to calculate the perimeter of a rectangle?

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

• P represent the perimeter of a rectangle.
• W represent the width of a rectangle.
• L represent the length of a rectangle.

Based on the graph, we have the following parameters;

Diameter of semicircle (length of rectangle) = 4 units.

Width of rectangle = 5 units.

For the perimeter of a semicircle, we have:

P = 2(π × radius)

P = 2(π × 4/2)

P = 12.566 units.

Therefore, the perimeter of this track is given by;

Perimeter of track = 5 + 5 + 12.566

Perimeter of track = 22.566 units.