Question

A family ordered a pizza, whose diameter is 28 cm. They decided to distribute it among themselves equally such that each of them gets a slice with an angle of 45°. The area of each slice is:
Take $\pi$ = $\frac{22}{7}$
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• A. 308 $c{m}^2$
• B. 77 $c{m}^2$
• C. 144 $c{m}^2$
• D. 616 $c{m}^2$

Answer 1

The correct option is B 77 $c{m}^2$

Given,
$Diameter=28cm$
$Radius=\frac{Diameter}{2}=\frac{28}{2}=14cm$

$Angleofaslice=45°$

$Areaofeachslice=\frac{\theta }{360°}\times \pi r^2(\because Sliceisintheformofasector)Areaofeachslice=\frac{45°}{360°}\times \frac{22}{7}\times {\left(14\right)}^2=\frac{22\times 14\times 2}{8}=77c{m}^2$