Question

1. find π, when a = 154 m and r = 7 m

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\).

Step2: Substitute the given values into the formula

Given \(A = 154\space m^{2}\) and \(r=7\space m\), we substitute into \(A=\pi r^{2}\), so \(154=\pi\times(7)^{2}\).

Step3: Simplify the equation

First, calculate \((7)^{2}=49\). Then the equation becomes \(154 = 49\pi\).

Step4: Solve for \(\pi\)

To find \(\pi\), we divide both sides of the equation \(154 = 49\pi\) by \(49\). So \(\pi=\frac{154}{49}\).
Simplify \(\frac{154}{49}=\frac{22\times7}{7\times7}=\frac{22}{7}\approx3.14\).

Answer:

\(\pi=\frac{22}{7}\)