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If you know the measure of the central angle, how can you find the measure of the major arc?

1 Answer

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Explanation:

The ratio of the central angle of an arc to the total angle of the circle, 360°, is proportional to the ratio of the arc length to the circumference of the circle. So, given the central angle, find the circumference using the radius of the circle and make the proportion:

central angle/360 = arc length/circumference

Solve for arc length, and you will get either a major or a minor arc.

If the central angle is greater than or equal to 180°, then it is a major arc.

If the central angle is less than 180°, it is a minor arc, and to find the major arc you will subtract the minor arc from 360°.

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User Jogy
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