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Earn +20 ptsQ: How do you calculate arc measures?
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What is an arc which measures less than 180 degrees?
A minor arc.
How to find angle measures of a secant?
The "Far Arc Near Arc theorem" is used in finding the angle measures of a secant.
What is a radian i.e measures of circular arcs according to mathematics?
A radian measures the degree of the arc. For instance, π radians is 180°. Then, the arc with π radians measures 180°.
If an arc measures 160 what is the length of the radius of this circle?
4
What is the measure of arc ACB if the circumference is 240 in and arc AB is 40 in?
Arc AB represents 40/240 = 1/6 of the circumference of the circle. As the angle at the centre subtended by the whole circle is 360° then ∠A0B (if the center is O) measures 1/6 x 360 = 60°. Since a central angle has the same number of degrees as the arc it intercepts, the arc ACB (note we can call the arc AB as arc ACB) measures 60°.
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