Question

What offer is the best price per square inch pizza?

with a radius of 8 inches and a central angle of 45 for 3.75 or

difra offers a slice of pizza with a radius of 7 inches and a central angle of 65 for 4.75

Answer 1

Explanation:

The area of a sector is given by :

`A=(\theta)/(360)*\pi r^2`

When r = 8 inches and
`\theta=45^(\circ)`

`A=(45)/(360)* \pi * 8^2\\\\A=25.13\ in^2`

Now when r = 7 inches and
`\theta=65^(\circ)`

`A=(65)/(360)* \pi * 7^2\\\\A=27.79\ in^2`

So, the best offer is given by difra i.e. a slice of pizza with a radius of 7 inches and a central angle of 65.