Question

1. rewrite the formula for the exact area of a circle you developed in activity 1. use a for the area of the circle and r for the length of the radius.

Explanation:

Step1: Recall the formula for the area of a circle

The area \(A\) of a circle is related to its radius \(r\). The formula is derived from the concept of integrating infinitesimal elements (in calculus terms) or by geometric approximation. The standard formula for the area of a circle is \(A=\pi r^{2}\), where \(\pi\) is a mathematical constant (approximately \(3.14159\cdots\)) and \(r\) is the radius of the circle.

Answer:

\(A = \pi r^{2}\)