How do I find the degrees

Mathematics

1 answer:

Zanzabum3 years ago

3 0

Answer:

x = 135°

Step-by-step explanation:

The angle x is the same fraction of 360° that the shaded area is of the area of the circle.

The area of a circle is given by the formula ...

A = πr²

For a radius of 12 cm, the area of the circle is ...

A = π(12 cm)² = 144π cm²

Then the measure of angle x is ...

x = (54π cm²)/(144π cm²)×360°

x = 135°

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Show work to above problem

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$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}
\\\\\\
|a|\implies 
\begin{cases}
+a\\
-a
\end{cases}\implies \pm a\\\\
-------------------------------\\\\
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