Question

This shape is made up of one half-circle attached to a square with side lengths 17 inches. You can use 3.14 as an approximation for pie

Answer 1

Answer:

total perimeter = 121.38 in

Explanation:

To find the perimeter of the shape, we need to add up the lengths of all the sides.

First, let's find the circumference of the half-circle. The formula for the circumference of a circle is:

circumference = πd

where d is the diameter of the circle. Since the half-circle is attached to a square with a side length of 17 inches, the diameter of the circle is also 17 inches. So, the circumference of the half-circle is:

circumference = πd = 3.14 × 17 in = 53.38 in (rounded to two decimal places)

Next, let's find the perimeter of the square. Since all the sides of a square are equal, the perimeter is simply:

perimeter of square = 4 × side length = 4 × 17 in = 68 in

Finally, we can add the circumference of the half-circle and the perimeter of the square to get the total perimeter of the shape:

total perimeter = circumference of half-circle + perimeter of square
total perimeter = 53.38 in + 68 in
total perimeter = 121.38 in

Therefore, the perimeter of the shape is 121.38 inches.

Answer 2

109.68

Explanation:

The side lengths are 24 not 17 according to the directions.

The sides of the square would be 24 + 24 + 24 = 72

Circumference of the 1/2 circle:

c =
`(2\pi r)/(2)` We are dividing by 2 because we have 1/2 of a circle

c=
`((2)(3,14)(12))/(2)` The diameter is 24 so the radius is 12

c = 37.68

Add 72 + 37.68 = 109.68

Helping in the name of Jesus.