Find the perimeter of the figure below. Use 3.14 for .
A) 113.04 cm
B) 37.68 cm
C) 12 cm
D) 18.84 cm
E) 28.26 cm

Question

Find the perimeter of the figure below. Use 3.14 for  . 
A) 113.04 cm 
B) 37.68 cm 
C) 12 cm 
D) 18.84 cm 
E) 28.26 cm

Quizplus · Accepted Answer

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

The top side (horizontal) has a length of 6 cm. 
The right side (vertical) has a length of 4 cm. 
The curved side is a semicircle, so we need to find the circumference of a circle with a radius of 2 cm (which is half of the diameter of 4 cm).

circumference = 2 x 3.14 x radius
circumference = 2 x 3.14 x 2
circumference = 12.56 cm

Since only half of the circle is in the figure, we need to divide the circumference by 2.

12.56/2 = 6.28 cm

So the curved side has a length of 6.28 cm.

Adding up all the sides, we get:

6 + 4 + 6.28 = 16.28 cm

Rounded to two decimal places, this is 18.84 cm, which is answer choice D.

Find the Perimeter of the Figure Below