3.34 units
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
1) Draw a circle of radius 32 2) Draw a radius (meeting the perimeter at A) 3) Based on the radius, construct an angle at the centre of the circle of 100° - draw a second radius (meeting the perimeter at B) 4) Based on the second radius, construct an angle at the centre of the circle of 120° - draw a third radius (meeting the perimeter at C) Note : the angle between the third and first radii measures 140°. 5) Draw chords joining A to B, B to C, and C to A. The triangle ABC has angles measuring 50°, 60° and 70°. NOTE : The process is based on the Theorem that the angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the circumference.
A central angle of 120 is one third of the circle, so the arc length of 28.61 is one third of the circumference. 28.61 X 3 = 85.83
This is your lucky day ! Watch now, as the Great and Powerful WA Contributorsolves your problem and answers your question without ever seeing the drawingthat's supposed to go along with it, and with no idea what 'BC' and 'ab' are . . .-- A whole circle has a central angle of 360 degrees.-- A whole circle with a radius of 10 has a circumference of [ (2 pi) x (radius) ] = 20 pi .-- A slice of cake with a central angle of 120 degrees is 1/3 of a circle.-- The arc at the fat end of the slice is 1/3 of the full circle's circumference = 20 pi/3 = 20.944 (rounded)-- Just in case 'BC' is the long arc, then its length is the other 2/3 of the whole circle= 2 x 20 pi/3 = 41.888 (rounded)Pay no attention to that old man behind the curtain.
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
Since diameter is twice its radius, the radius of this circle would be 60
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
In ratios, the ratios of areas is the square of the ratio of sides. Consider the original circle and the new larger circle formed by multiplying its radius (length) by 3: The circles have lengths in the ratio 1 : 3 → the circle have areas in the ratio 1² : 3² = 1 : 9 → The larger circle's area is 9 × 120 mm² = 1080 mm²
circumference of the circle = 2*pi*10 = 20pi units of measurement length of arc = (120/360)*20pi = 20.944 units (rounded to 3 decimal places)
47.10
The answer depends on what the measures refer to.
I guess you are referring to a circle with area 120 m2 and want to know its radius: area_circle = π x radius2 ⇒ radius = √(area_circle ÷ π) = √(120 m2÷ π) ≈ 6.18 m
An arc length of 120 degrees is 1/3 of the circumference of a circle
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
It depends on the shape that is removed. It could be a smaller circle, whose radius is sqrt(2/3) = 0.8165 of the original radius, Or a circle with a hole with radius sqrt(1/3) = 0.5774 of the original radius cut out of it, Or a wedge making a central angle of 120 degrees removed from the circle, Or more complicated shapes.