The length of an arc equals he angle (in radians) times the radius. Divide the length by the radius, and that gives you the ange. Measure out the angle on a protractor and draw the length of the radius at the begining and end of the angle. Then draw theportion of the circle with its center at the location ofthe angle and extending out to the radius.
When the arc length is the same size as a circle's radius it is known as a radian and it measures just under 57.3 degrees
If cylinder radius and cylinder length are known : (pi = 3.141592654 . . . ) > Surface area = ( (2 * pi * radius) * length )
r = known radius x = known arc length --------------------------- C (circumference of circle) = 2 * PI * r A (angle of chord in degrees) = x / C * 360 L (length of chord) = r * sin(A/2) * 2
r = known radius x = known arc length --------------------------- C (circumference of circle) = 2 * PI * r A (angle of chord in degrees) = x / C * 360 L (length of chord) = r * sin(A/2) * 2
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.
It depends on what other information you have: area, circumference, radius, length of arc subtending a known angle, measure of angle for a known arc length etc.
The arc tangent is the recicple of the tangent which is also known as the cotangent. The tangent of π/2 is undefined, thus the cotangent would be zero.
A=pi*r^2, so to find the radius, divide the area by pi and take the square root of that quotient. theta/360=arc length/circumference. C=2pi*r, so multiply the radius you found above by 2pi. Then you have theta/(known value)=(known value)/(known value), so you can now solve for theta!
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
the volume of a cylinder is V = pi*r^2 * l (where v is volume r is radius and l is length) so you would do this equation to find it:length = V / (pi * r^2).
It depends on what else is known about the sector: length of arc, area or some other measure.