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Oksi-84 [34.3K]
3 years ago
13

Find the length of the darkened arc. Leave your answer in terms of pi.​

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

\frac{15 }{4}  \pi \:

Step-by-step explanation:

Radius of circle (r) = 18/2 = 9 ft

Central angle = 180° - 30° = 150°

length \: of \: arc  \\ =  \frac{150 \degree}{360 \degree}  \times 2\pi \: r \\  \\  = \frac{150 \degree}{360 \degree}  \times 2 \times \pi \: \times  9\\  \\  = \frac{5 }{12 }  \times 18 \times \pi \: \\  \\  = \frac{5 }{4}  \times 3\times \pi \:\\  \\  = \frac{15 }{4}  \pi \:

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This is a rectangular cake, and there are 3 measurements, meaning that you are evidently finding volume.

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V = L x W x H (Length, Width, Height)
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