Question

Show full work! or drawing a diagram would be helpful!

Answer 1

We first determine which aperture (angle) is in degrees:

*First angle:

`(\pi)/(3)\cdot(180)/(\pi)=60`

*Second angle:

`(\pi)/(4)\cdot(180)/(\pi)=45`

Now, we determine the areas of each pizza slice:

*First slice:

`A_1=\pi(7)^2((60)/(360))\Rightarrow A_1=(49)/(6)\pi\Rightarrow A_1\approx25.7`

*Second slice:

`A_2=\pi(8)^2((45)/(360))\Rightarrow A_2=8\pi\Rightarrow A_2\approx25.1`

From this, we can see that it would be a better deal to buy the slice of the 14-inch pizza.