Answer:
The area of one slice of this pizza is equal to
![6.125\pi\ in^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xwzkzfxtn32y44kgrlpsg82fpwwukqzbs5.png)
Explanation:
step 1
Find the area of the complete pizza
The area of the circle is given by the formula
![A=\pi r^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kltiiuyxj30cc2vin186woxkzp37096goj.png)
we have
----> the radius is half the diameter
substitute
![A=\pi (7)^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/r2zkfmlvqtyyncumgtvqi52dzs5qeet48c.png)
![A=49\pi\ in^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/91n0jamho2glk5t03knglz9erpwm3ep0be.png)
step 2
Divide the complete area by 8 (number of slices of pizza)
![49\pi/8=6.125\pi\ in^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rmllg3lxzu67nrrwnpp3usz1gr76676zb2.png)
therefore
The area of one slice of this pizza is equal to
![6.125\pi\ in^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xwzkzfxtn32y44kgrlpsg82fpwwukqzbs5.png)