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An equilateral triangle is inscribed in a circle. What is the measure of the arc that one of the angles intercepts?
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An equilateral triangle is inscribed in a circle. What is the measure of the arc that one of the angles intercepts?
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Jul 5, 2019
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An equilateral triangle is inscribed in a circle. What is the measure of the arc that one of the angles intercepts?
Mathematics
high-school
Elvis Chweya
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Elvis Chweya
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we know that
Together the three angles intercept the entire circle, which has a measure of 360°. Since the angles of an equilateral triangle are congruent, they each intercept an arc of 120° or 2pi/3 radians.
the answer is
120° or 2*pi/3 radians
Prasath Govind
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Jul 11, 2019
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Prasath Govind
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