What is the measure of minor arc AC, given that AB and BC are tangent to O? A. 180 B. 220 C. 200 D. 160

Mathematics · College · Thu Feb 04 2021

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Answer: To provide an accurate measure for the minor arc AC, we will need to use the properties of circle geometry that relate to arcs and tangents. However, as you did not provide the exact diagram or additional details such as the measures of angles or any arc lengths, I can't give a specific answer to the question asked. Generally, if a circle has points A, B, and C on its circumference, with AB and BC as tangents from points A and B to point O on the circumference, and you're looking for the measure of the minor arc AC, you would typically need to know the angle that the tangents or the chords create with each other or at the center of the circle to calculate the arc length.

If AB and BC are tangents to circle O, and they intersect at a point (outside the circle), the measure of the minor arc AC would be twice the measure of the angle formed between the two tangents, because the measure of an angle formed by two intersecting tangents is half the measure of the arc between the points of tangency. For example, if the angle between AB and BC was 100 degrees, then the minor arc AC would be 200 degrees.

Without any additional information, we cannot definitively say whether the answer is A, B, C, or D. If you can provide further information or a diagram, I could offer a more precise answer.

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