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inysia [295]
3 years ago
6

I need help with this question please

Mathematics
1 answer:
madam [21]3 years ago
6 0

Answer:go there and it will answer your question

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Step-by-step explanation:

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What is the arc measure of \stackrel{\LARGE{\frown}}{AC}
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Step-by-step explanation:

Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π

The length of arc ABC = \frac{\theta}{360}*2\pi r

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Since the length of arc ABC is 16π,

16\pi=\frac{\theta}{360}*2\pi r\\16\pi=\frac{\theta}{360}*2\pi *10\\\theta=\frac{16\pi *360}{2 \pi *10} \\\theta=288^0

The angle in a circle = 360°, therefore:

Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°

Therefore the arc measure of arc AB is 72°

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