Question

task 2: thinking
show all steps clearly to receive full credit for your solutions.

1. using the formula ( c=pi d ), calculate the diameter of a circle with a circumference of 12.4 cm.

Explanation:

Step1: Rearrange the formula for diameter

Given \(C = \pi d\), we can solve for \(d\) by dividing both sides of the equation by \(\pi\). So \(d=\frac{C}{\pi}\).

Step2: Substitute the value of \(C\)

We know that \(C = 12.4\) cm. Substituting this into the formula \(d=\frac{C}{\pi}\), we get \(d=\frac{12.4}{\pi}\).
Taking \(\pi\approx3.14\), then \(d=\frac{12.4}{3.14}\approx3.95\) cm.

Answer:

The diameter of the circle is approximately \(3.95\) cm.