Question

Find the perimeter of the shaded region. Keep answer in exact form. rectangle with two semi circles within it. Semi circle have a diameter of 6 and regtangle has a lenght of 13

Answer 1

31.16

Explanation:

Perimeter of the shaded portion = Perimeter of the rectangle - Perimeter of the 2 circles

Length of rectangle = 13

Width = 2d

d is the diameter of the circle = 2(6) = 12

Perimeter of the rectangle = 2(L+W)

Perimeter of the rectangle = 2(13+12)

Perimeter of the rectangle = 2(25)

Perimeter of the rectangle = 50

Perimeter of the semi-circle = πd/2

Perimeter of the circle = 3.14(6)/2

Perimeter of the circle = 18.84/2

Perimeter of the 2 circles = 2(18.84)/2

Perimeter of the 2 circles = 18.84

Perimeter of the shaded portion = 50 - 18.84

Perimeter of the shaded portion = 31.16