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arc length/2pi*r=measure of central angle/360
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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.
What is radius of a circle with a central angle of 136 degrees and arc length of 1010cm?
Arc length = 136*2*pi*r/360So r = 360*arc length/(136*2*pi) = 425.5 cmArc length = 136*2*pi*r/360So r = 360*arc length/(136*2*pi) = 425.5 cmArc length = 136*2*pi*r/360So r = 360*arc length/(136*2*pi) = 425.5 cmArc length = 136*2*pi*r/360So r = 360*arc length/(136*2*pi) = 425.5 cm
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
How find radius in a circle given angle and length of arc?
angle of arc/ angle of circle (360°) = length of the arc/ total circumference (2 pi* radius) so you just have to find r then so: angle of arc/ angle of circle (360°) *2pi = length of the arc/ radius radius= ength of the arc/ angle of arc/ angle of circle (360°) *2pi not that hard ;)
What is the length of the arc on a circle of radius r equals 5 yards intercepted by a central angle theta equals 70 degrees?
To work out the length of the arc on a circle, you need to work out the proportion of the full circle that the arc represents. This is the proportion of the circumference of the circle. The circumference of a circle is 2 times pi times radius or 2{pi}r A full circle has 360o so an arc created between 2 radii with an angle of ao between them has a length that is a/360 that of the full circle, ie length of arc = 2{pi}ra/360 Thus, for a circle of radius r=5yds and angle=72o, the length of the arc is: 2x{pi}x5x72/360 = 2x{pi}x5x1/5 = 2x{pi} ~= 6.28yds
What is the arc length of the minor arc of 120 degrees and the radius of 8?
Arc length = pi*r*theta/180 = 17.76 units of length.
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
How do you calculate the the arc of a sector?
To calculate the arc length of a sector: calculate the circumference length, using (pi * diameter), then multiply by (sector angle / 360 degrees) so : (pi * diameter) * (sector angle / 360) = arc length
What is the ideal length of arc?
2*pi*r
How do you find angle in degrees when having a set arc length and radius?
Angle = Arc length * 360/(2*pi*r) = 180/(pi*r) where r is the radius.
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.
How do you find the central angle of a circle if I am given the arc length and radius?
(arc length / (radius * 2 * pi)) * 360 = angle
