Question

What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr

Answer 1

Answer:

50inches

Step-by-step explanation:

Complete question;

The square shown(image attached) has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr a cone with a base circumference of about 25 units a cone with a base circumference of about 50 units a cylinder with a circumference of about 25 units a cylinder with a circumference of about 50 units.

The figure shown is a square

Perimeter of a square = 4L

L is the length of the side of the square

32 = 4L

L =32/4

L = 8units

Since the square is rotated about a line k forming a circular shapr, hence the radius of the circular shape is equal to the length of the side of the rotated square. Hence r = 8units

Get the circumference of the circle

C = 2πr

Substitute r = 8 into the formula

C = 2π(8)

C = 16π

C = 16(3.14)

C = 50.24in

Hence the approximate circumference of the circle is 50inches