Question

A piece of wire is bent is the shape of an equilateral triangle of each side 13.2 cm it is re-bent to form a circular ring what is diamter of ring

Answer 1

To find the diameter of the circular ring made from the same wire previously bent into an equilateral triangle with 13.2 cm sides, calculate the perimeter (39.6 cm) and use the circumference formula (C = πd) which gives a diameter of approximately 12.6 cm.

Step-by-step explanation:

To calculate the diameter of a circular ring formed by re-bending a wire that was previously shaped as an equilateral triangle with each side measuring 13.2 cm, we'll first determine the perimeter of the triangle. Since all sides of an equilateral triangle are equal, the perimeter P is 3 times the length of one side:

P = 3 × 13.2 cm = 39.6 cm.

This perimeter becomes the circumference C of the circular ring when re-bent.

Using the circumference formula for a circle (C = πd, where π is Pi and d is the diameter), we can find the diameter:

d = C / π = 39.6 cm / π ≈ 12.6 cm.

Therefore, the diameter of the circular ring is approximately 12.6 cm.