Question

Two students calculated the area of this circle differently. Who is correct?

Answer 1

Given:

The circle given has a radius of 3

The area of a circle is given by;

`\begin{gathered} A=\pi r^2 \\ A=\pi(3^2) \\ A=9\pi \end{gathered}`

If the exact value of the area of the circle is needed, Emilio's method is correct because the area Emilio calculated is the exact value of the area of the circle.

Allison used an approximated value of pi and it was not stated if pi should be estimated as 3.14, because there are various estimates of pi and will only be used if a particular estimate is stated to be used.

Hence, the method with the exact value of the area of the circle is Emilio's method.

Therefore, Emilio is correct.