Question

This shape is made up of one half-circle attached to an equilateral triangle with side lengths 19 inches. You can use 3.14 as an approximation for π. What is the approximate perimeter of the entire shape? Solve on paper, and enter your answer on Zearn. You can use your Zearn calculator to help you solve.

Answer 1

To find the approximate perimeter, we need to determine the length of the curved section (half-circle) and the length of the three sides of the triangle. The length of the curved section is 19π inches and the perimeter of the triangle is 57 inches. The approximate perimeter of the entire shape is 19π + 57 inches.

Step-by-step explanation:

To find the approximate perimeter of the entire shape, we need to determine the length of the curved section (half-circle) and the length of the three sides of the triangle.

The formula for the circumference of a circle is given by C = 2πr, where r is the radius.

Since the half-circle is attached to the equilateral triangle, its diameter is equal to the length of one side of the triangle, which is 19 inches.

Therefore, the length of the curved section is 2πr = 2π(19/2) = 19π inches.

The perimeter of the triangle is given by P = 3s, where s is the length of one side. Since s = 19 inches, the perimeter of the triangle is 3(19) = 57 inches.

The approximate perimeter of the entire shape is obtained by adding the length of the curved section and the perimeter of the triangle, which gives us 19π + 57 inches.