The length of an arc, with an angle in degrees, is equal to (pi x r x θ)/180.
In this case, it is (pi x 120 x 10)/180, which is (20pi)/3 or about 20.944.
This answer is not right for A+
The area of a sector in a circle if the radius is 4 cm and the arc has degree 120 is: 16.76 cm2
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector
The degree of the arc is: 30.08 degrees.
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
you will need to know the angle subtended by the arc; arc length = radius x angle in radians
47.10
The arc length is the radius times the arc degree in radians
The area of a sector in a circle if the radius is 4 cm and the arc has degree 120 is: 16.76 cm2
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector
Arc length = pi*r*theta/180 = 17.76 units of length.
The degree of the arc is: 30.08 degrees.
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
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)
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
Length = angle˚/360˚ x 2∏r
circumference = 2*pi*7 = 43.98229715 arc = (120/360)*43.98229715 = 14.66076572 or 14.661 units rounded to 3 dp