Question

Saira is using the formula for the area of a circle to determine the value of .

Answer 1

For this problem, we just have to use the values we're given to calculate the approximate value of pi.

The formula presented is

$\pi=Ar^{-2}$

When you have a negative exponent, we can use the following property

$a^{-b}=\frac{1}{a^b}$

Using this property, our problem turns out to be

$\pi=\frac{A}{r^2}$

Now, we just need to plug the given values on this equation

$\pi=\frac{50.265}{4^2}=3.1415625\approx3.142$

The approximated value for pi is 3.142.