(arc length)/circumference=(measure of central angle)/(360 degrees)
(arc length)/(2pi*4756)=(45 degrees)/(360 degrees)
(arc length)/(9512pi)=45/360
(arc length)=(9512pi)/8
(arc length)=1189pi, which is approximately 3735.3536651
(arc length / (radius * 2 * pi)) * 360 = angle
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
Radius: A line from the center of a circle to a point on the circle. Central Angle: The angle subtended at the center of a circle by two given points on the circle.
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 length of an arc of a circle of radius r, which subtends an angle of x radians at the centre is r*x.
The length of an arc of a circle refers to the product of the central angle and the radius of the circle.
(arc length / (radius * 2 * pi)) * 360 = angle
The length of an arc of a circle is the radius times the angle (in radians). So a full circle is an angle of 2*pi radians, and the circumference of a circle is 2*pi*radius. A half circle is pi*radius. Quarter circle is (pi/2)*radius, etc.
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
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.
the general formula is arc length is equal the radius times the angle. s=r< s=arc length r=radius <=angle
Length of arc = angle (in radians)*radius = (pi/4)*14 = 10.996 cm
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 ;)
Depends on what angle the arc subtends at the centre of the circle.
An arc of length 6cm subtending an angle at the centre of 1.5c is equivalent to the whole circle of length 2πr subtending 2π radians. Therefore, 6/1.5 = 2πr/2π = r : Then r = 4 cm. NOTE : A radian can be defined as the angle at the centre of a circle subtended by an arc equal in length to the radius. So an arc subtending an angle of 2 radians is twice the length of the radius. An arc subtending an angle of 1.5 radians is thus 11/2 times as long as the radius.
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees