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How do you find the radius when only the arc length and degree are given?
2*pi*r/Arc length = 360/Degreesince both are a ratio of the whole circle to the arc.Simplifying,r = 360*Arc Length/(2*pi*Degree) = 180*Arc Length/(pi*Degree)
How do you find the length of an arc and leave you answer in terms of pi?
The length of an arc is the radius times the angle in radians that the arc subtends length = radius times angle in degrees times pi/180
What is Relation between the length of the circular arc and the radian measures of its central angle?
You can think of an arc as a fraction of the circumferance of a circle. Also, a complete circle is 2pi radians, so any central angle is THETA / 2pi of a complete circle. Multiply by the circumferance to get the length of the arc: THETA / 2pi * 2(pi)(r) = THETA * r or the length of the arc is simply the radius times the central angle in radians
What is the ideal length of arc?
2*pi*r
What is the measure of the central angle of a circle with the arc length of 29.21 and the circumference of 40.44?
arc length/circumference = central angle/2*pi (radians) So, central angle = 2*pi*arc length/circumference = 4.54 radians. Or, since 2*pi radians = 360 degrees, central angle = 360*arc length/circumference = 260.0 degrees, approx.
