You also need the measure of the central angle because arc length/2pi*r=measure of central angle/360.
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you will need to know the angle subtended by the arc; arc length = radius x angle in radians
To find the arc length given the radius and angle measure in degrees, you must first convert the angle from degrees to radians, using the formula: Degrees = Radians X (pi/180). Then take the radians and the radius that you are given, and put them into the formula of Q = (a/r) where Q is the angle in radians, a is the arc length, and r is the radius. When you have this, simple multiply both sides by the radius to isolate the a. Once you do this, you have your answer.
The degree of the arc is: 30.08 degrees.
Well, isn't that just a happy little question! To find the radius when you have the angle and arc length, you can use the formula: radius = (arc length) / (angle in degrees) * (π/180). Just plug in the values you have, and you'll have your radius in no time. Remember, there are no mistakes, just happy little accidents in math!
The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.