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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)
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.
It is: 16pi*35/360 = 4.886921906 or about 5 cm
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The degree of the arc is: 30.08 degrees.
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
The length of an arc of a circle refers to the product of the central angle and the radius of the circle.
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)
s = rθs=arc lengthr=radius lengthθ= degree measure in radiansthis formula shows that arc length depends on both degree measure and the length of the radiustherefore, it is possible to for two arcs to have the same degree measure, but different radius lengthsthe circumference of a circle is a good example of an arc length of the whole circle
The arc length is the radius times the arc degree in radians
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
If the radius of a circle is tripled, how is the length of the arc intercepted by a fixed central angle changed?
you will need to know the angle subtended by the arc; arc length = radius x angle in radians
(arc length / (radius * 2 * pi)) * 360 = angle
The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.
The area of a sector in a circle if the radius is 4 cm and the arc has degree 120 is: 16.76 cm2