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

Step-by-step explanation:

The area of a sector is given by :

$A=\dfrac{\theta}{360}\times\pi r^2$

When r = 8 inches and $\theta=45^{\circ}$

$A=\dfrac{45}{360}\times \pi \times 8^2\\\\A=25.13\ in^2$

Now when r = 7 inches and $\theta=65^{\circ}$

$A=\dfrac{65}{360}\times \pi \times 7^2\\\\A=27.79\ in^2$

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.