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The arc_length is given by the angle measured in radians times the radius of the arc.

To convert degrees to radians divide by 180° and multiply by π radians.

eg 45° = 45° ÷ 180° × π radians = π/4 radians.

eg 60° = 60° ÷ 180° × π radians = π/3 radians.

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7y ago
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7y ago

It is the angle, measured in radians, that the arc makes at the centre of the circle.

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7y ago

the arc length is equal to the radius times the angle subtended in radians.For examale the arc length of a semicircle (angle 180 degrees = pi) is radius x pi

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Q: The ratio of the arc length to the radius?
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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)


Arc length equals the measure of the arc?

The arc length is the radius times the arc degree in radians


How do you find radius of a circle if given arc length?

you will need to know the angle subtended by the arc; arc length = radius x angle in radians


How do you find the formula for are of triangle?

the formula for the arc of a triangle is the arc length is equal to the angle times the radius. s=arc length theta=angle made y length of the arc lenth r=radius s=theta times radius


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


How can you find the length of an arc with the radius known?

The length of the arc is r*theta where r is the radius and theta the angle subtended by the arc at the centre of the circle. If you do not know theta (or cannot derive it), you cannot find the length of the arc.


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 the difference between arc measure and arc length?

Arc measure is the number of radians. Two similar arcs could have the same arc measure. Arc length is particular to the individual arc. One must consider the radius of the arc in question then multiply the arc measure (in radians) times the radius to get the length.


How do you find a circumference of an arc with basis of its chord length and given height?

you need to know the formula the arc length is equal to the radius times the angle made by the length of arc s = r(theta) s=arc length r=radius theta=angle


If the radius of a circle is doubled how is the length of the arc intercepted by a fixed central angle changed?

If the radius of a circle is tripled, how is the length of the arc intercepted by a fixed central angle changed?


If a sector has an angle of 118.7 and an arc length of 58.95mm what is its radius?

If a sector has an angle of 118.7 and an arc length of 58.95 mm its radius is: 28.45 mm


What is the arc length of a sector that is 125degrees and has a radius of 20 inches?

The arc length of a sector that is 125 degrees and has a radius of 20 inches is: 43.63 inches.