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2 years ago

Find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π

Mathematics

1 answer:

Hunter-Best [27]2 years ago

6 0

Because it has a 90 degree it shows that the area is 3/4 of a circle:
V=r^2π => 36π·3/4 = 27π

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Does anyone know how to do this I’m really confused

Levart [38]

<h3>Given:</h3>

Pentagon

The size of the unknown angle "x"

<h3>Solution:</h3>

The given polygon is a Pentagon so the sum of interior angle will be,

$\large\boxed{Formula: ( n − 2 ) × 180}$

n means the number of sides

Let's substitute the values according to the formula.

$(5-2)×180$

$=540°$

Now, we can find the sum of one interior angle.

$\large\boxed{\frac{sum \: of \: interior \: angles}{n}}$

n means the number of sides.

Let's substitute the values according to the formula.

$x=\frac{540}{5}$

$\large\boxed{x= 108°}$

Therefore, the size of the unknown angle "x" is 108°

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