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r-ruslan [8.4K]
3 years ago
10

work out the area of a sector of a circle. give your answer in terms of π, can u plz show how u worked it out, thx :)

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0
\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta\pi r^2}{360}\qquad 
\begin{cases}
\theta=\textit{angle in degrees}\\
r=radius\\
--------\\
r=8\\
\theta=40
\end{cases}\implies A=\cfrac{40\cdot \pi \cdot 8^2}{360}
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An angle measures 79.4 degrees more than the measure of its supplementary angle. What is the measure of each angle?
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Answer:

The angles are: 50.3 and 129.7

Step-by-step explanation:

The sum of supplementary angles is 180°.

Let x be one angle then the other angle will be x+79.4

Using the supplementary angle sum

x+x+79.4 = 180\\2x+79.4 = 180\\2x = 180-79.4\\2x = 100.6\\\frac{2x}{2} = \frac{100.6}{2}\\x = 50.3

For the measurement of 2nd angle

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The angles are: 50.3 and 129.7

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<em>Alternate solution</em>

A graph of the equation shows it has an x-intercept of -1.5 and a y-intercept of -3. The slope (m) is then "rise" divided by "run", or ...

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