A baker is making a cake like the one at the right. The top layer has a diameter of 8 inches and the bottom layer has a diameter of 20 inches. How big should the middle layer be?

$\large \mathbb{SOLUTION}$

$\ \bold{(Median \: line \: theorem \: of \: trapezium)}$

$\bold{(Circle \: area \: formula)}$

$\bold{Area \: of \: the \: middle \: layer:}$

$\bold{ = \: \pi \: \times \: ( \frac{14}{2})^{2} }$

${ nderline{ \bold{ = \: 49\pi \: (inches^{2} )}}}$

$\large \mathbb{ANSWER}$

Therefore, $\large{ \boxed{ \bold{49\pi \: inches^{2}}}}$ is the answer of your problem!

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