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MAXImum [283]
3 years ago
15

An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro

und your answer to the nearest tenth.
Mathematics
2 answers:
alex41 [277]3 years ago
5 0
Circumference = 2Pi(r) = 6Pi = 18.85
Comparing the arc length to the entire circumference is
8:18.85 = .4344
Then comparing the central to 360 degrees in a circle is
Angle:360 = 8:18.85
Angle = 152.8 degrees
djverab [1.8K]3 years ago
3 0

Answer:

2.7 radians

Step-by-step explanation:

or C

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3 years ago
In Triangle DEF, the sum of the measures of Angle D and Angle E is 110. The sum of the measures of Angle E and Angle F is 150. F
nevsk [136]

Answer:

<D + <F = 100^{o}

Step-by-step explanation:

Given: <D + <E = 110^{o}

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<D + <E + <F = 180^{o}

110^{o} + <F = 180^{o}

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<F = 70^{o}

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<E + 70^{o} = 150^{o}

<E = 150^{o} - 70^{o}

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<E = 80^{o}

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<D + <E = 110^{o}

<D + 80^{o} = 110^{o}

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