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What is the area of the partial circle with a radius of 8 cm?

Use 3.14 for pi.


37.68 cm²

50.24 cm²

150.72 cm²

200.96 cm²

What is the area of the partial circle with a radius of 8 cm? Use 3.14 for pi. 37.68 cm-example-1

2 Answers

4 votes

Answer: Just took the test and got the answer!! Step-by-step explanation: Look at the image down below ♡\( ̄▽ ̄)/♡


What is the area of the partial circle with a radius of 8 cm? Use 3.14 for pi. 37.68 cm-example-1
User Matt Spoon
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8.0k points
4 votes

notice, the circle is missing 1/4, so the area of it is just 3/4 of the whole area of the circle.



\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies A=\pi 8^2\implies A=64\pi \\\\\\ \stackrel{whole}{\cfrac{4}{4}}-\stackrel{one~quarter}{\cfrac{1}{4}}=\cfrac{3}{4}~\hfill \cfrac{3}{4}\cdot 64\pi \implies 48\pi \implies \stackrel{\pi =3.14}{150.72} \\\\\\ ~\hspace{34em}

User Bfncs
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