Question

The equilateral triangle shown is rotated about line a. each side of the triangle measures 20 shape is created by the rotation and what is the approximate circumference of the base? circumference of a circle: c = 2πra cylinder with a circumference of about 63 mma cylinder with a circumference of about 126 mma cone with a base circumference of about 63 mma cone with a base circumference of about 126 m

Answer 1

The equilateral triangle, when rotated around a line, creates a cone. The approximate circumference of the base of the cone is 62.83 mm.

Step-by-step explanation:

When a triangle is rotated around a line, it creates a cone. In this case, the equilateral triangle with sides of length 20 is rotated about line a, creating a cone with a base circumference of about 126 mm. The formula to calculate the circumference of a circle is c = 2πr, where r is the radius of the circle. Since the radius of the cone's base is half of the side length of the triangle, which is 10 mm, the approximate circumference of the base is 2π(10) = 20π ≈ 62.83 mm (rounded to two decimal places).