Question

1. the area of a circle is 100π m². find the circumference.

Explanation:

Step1: Find the radius

The area formula of a circle is $A = \pi r^{2}$. Given $A = 100\pi$, we have $\pi r^{2}=100\pi$. Divide both sides by $\pi$: $r^{2}=100$, so $r = 10$ m (taking the positive value as radius is non - negative).

Step2: Calculate the circumference

The circumference formula of a circle is $C = 2\pi r$. Substitute $r = 10$ into the formula: $C=2\pi\times10 = 20\pi$ m.

Answer:

$20\pi$ m