Question

The equilateral triangle shown is rotated about line a. each side of the triangle measures 20 mm. an equilateral triangle is shown. line of rotation a goes through one point and the midpoint of the opposite side. what shape is created by the rotation and what is the approximate circumference of the base? circumference of a circle: c = 2πr a cylinder with a circumference of about 63 mm a cylinder with a circumference of about 126 mm a cone with a base circumference of about 63 mm a cone with a base circumference of about 126 mm

Answer 1

The circumference of the circle based on the equilateral triangle is 63mm.

How to calculate the circumference?

The side of the triangle is 20mm. The radius will be:

= 20/2 = 10

The circumference of the circle will be:

= 2πr

= 2 × 3.14 × 10

= 63

In conclusion, the circumference is 63mm.

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Answer 2

Answer:

a cone with a circumference of about 63 mm

Step-by-step explanation:

By imagining the triangle rotating around the line in the middle, we can see that the triangle will create a cone, not a cylinder.

If one side of the triangle measures 20 mm, then the radius at the base of our cone will be 10 mm. (20 mm is the diameter and the radius is half of that.)

Use 2πr to solve for the circumference and it comes out to 63.

Thus, the rotated triangle will created a cone with a base circumference of about 63 mm.