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Debbie’s pizza shack cuts a large pizza into 10 equal slices. The diameter of the pizza is 16 inches. Bob eats two slices of pizza. How much pizza does he eat ?

Respuesta :

Debbie’s pizza shack cuts a large pizza into 10 equal slices. The diameter of the pizza is 16 inches. Bob eats two slices of pizza. How much pizza does he eat ?

Solution:

There are 10 equal slices of pizza

Out of 10 slices bob eats 2 slices.

So, out of one pizza bob eats [tex] \frac{2}{10} [/tex] or [tex] \frac{1}{5} [/tex] th of the pizza


Calculating in terms of area,

Diameter of Pizza= 16 inches

So, Radius of Pizza= [tex] \frac{Diameter}{2} [/tex]

Radius of pizza=[tex] \frac{16}{2} [/tex]=8inches

Area of complete pizza= πr²=π8²=64π=200.96inches²

Area of the part had by Bob=[tex] \frac{1}{5} [/tex]*200.96 inches²

=40.192inches²

Bob had 40.192 inches² out of 200.96 inches² pizza