Question

Imagine you are in an argument with your sibling or friends about the size of the slice of pizza that you were both served. They say that it was unfair because you got a bigger piece. What information would you need to know about each slice of pizza in order to calculate which one had a larger area? Explain (Hint: remember the formula for the area of a sector of a circle!!)

Answer 1

Ok, so

Remember that the formula of the area of a sector of a circle is given by:

$A=\frac{1}{2}r^2\theta$

Where r is the radius of the circle and Θ is the angle (in radians) of the sector.

Therefore, we would need to know the radius of the pizza, and the angle of each slice of pizza in order to calculate which one had a larger area.