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What angle measures 58 degrees?
The obvious answer is 58 degrees. It is very close to one radian (57.3 degrees), which is an angle such that the length of the arc that it subtends is the same as the radius.
How does one calculate arc length when given the radius and angle measure in degrees?
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.
How many degrees are there in one radian?
One radian is about 57.3 degrees
How many degrees in one ninth of a circle?
40 degrees.
How many degrees is one fourth of a circle?
One fourth of a circle is 90 degrees.
