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)=(1)/(a^b)`

Using this property, our problem turns out to be

`\pi=(A)/(r^2)`

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

`\pi=(50.265)/(4^2)=3.1415625\approx3.142`

The approximated value for pi is 3.142.