You need to convert the angle to radians and then multiply by the radius
arc length = s = radius x angle
angle = 165/180 x 3.14 = 2.88 radians
s = 3 x 2.88 = 8.64 inch
5.23
The radial length equals the chord length at a central angle of 60 degrees.
If the radius of a circle is tripled, how is the length of the arc intercepted by a fixed central angle changed?
If this is a central angle, the 72/360 x (2xpix4) = 5.024
A circle contains 360 degrees. Draw a circle, add a radius to any point on it, and then rotate the radius completely around. After it has returned to the point it initially intersected the curve, the radius will have rotated through 360 degrees.(another explanation, maybe no better.)A complete circle measures 360 degrees, so a half-circle is 180 degrees, a quarter-circle is 90 degrees and so forth. Another way to look at it is in terms of the central angle formed by the radii drawn from each endpoint of the arc - the measure of the arc in degrees is the same as the measure of this central angle in degrees.
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
5.23
It is certainly possible. All you need is a the second circle to have a radius which is less than 20% of the radius of the first.
The length of an arc of a circle refers to the product of the central angle and the radius of the circle.
The measure of the central angle divided by 360 degrees equals the arc length divided by circumference. So 36 degrees divided by 360 degrees equals 2pi cm/ 2pi*radius. 1/10=1/radius. Radius=10 cm.
The length of an arc on a circle of radius 16, with an arc angle of 60 degrees is about 16.8.The circumference of the circle is 2 pi r, or about 100.5. 60 degrees of a circle is one sixth of the circle, so the arc is one sixth of 100.5, or 16.8.
The radial length equals the chord length at a central angle of 60 degrees.
If the radius of a circle is tripled, how is the length of the arc intercepted by a fixed central angle changed?
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees
If this is a central angle, the 72/360 x (2xpix4) = 5.024
(arc length / (radius * 2 * pi)) * 360 = angle