Question

Hey! Could someone explain to me how to find the perimeter of this figure? It would be greatly appreciated!

Answer 1

Answer:

3/2 pi + 12

Step-by-step explanation:

In this figure, we have 4 sides and one curve. The total length of the four sides is 3 x 4 = 12. To find out the length of the curve, we need to find the angle of the top figure. Since it is next to a square, that means the angle that is farthest from the curve is 90 degrees.

The formula for finding an angle of a curve is n/360 x 2 pi x radius, where n is the angle.

The radius of the arc is 3, because at the bottom we see the width of the figure is 3.

Substituting our known values, we have 1/4 x 2 x pi x 3 = 6 x 1/4 x pi = 3/2 x pi.

Therefore, our answer is 3/2 pi + 12