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Earn +20 ptsQ: What is a minor arc in a circle?
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Is the central angle of a minor arc an acute angle?
Not necessarily. Only if the minor arc is less than 1/4 of the circle. If the minor arc is more than 1/4 of the circle, then the central angle is obtuse.
Does a minor arc measure exactly 180 degrees?
No. Given two points on a circle, the minor arc is the shortest arc linking them. The major arc is the longest.
What is the circumference of a circle when the arc is 30 degrees and minor arc is 8?
The circumference of a circle is 360 degrees. The circumference of a circle is also 2*pi*radius or diameter*pi.
Is it true an acute angle inscribed in a circle must intercept a minor arc?
No, because there is no acute angle in a circle.
What is the length of the minor arc if the angle in the circle is 90 and the radius of the circle is 15?
The total circumference of the circle is (2 pi R) = 30 pi.The central angle of 90° is 90/360 = 1/4 of the circle.The minor arc = 30 pi/4 = 23.562 (rounded)
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