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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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Option A. 52.2² - 47.8² is a correct way of finding the area of the square frame

Option B. 2 × ((52.2×2.2) + (47.8×2.2)) = 440, is  a correct way of finding the area of the square frame

Option C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2 = 880, is not a correct way of finding the area of the square frame

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Option D. 100×(52.2 - 47.8) = (52.2 + 47.8) × (52.2 - 47.8) = 52.2² - 47.8² = 440,  is  a correct way of finding the area of the square frame

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