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An arc 14cm long on the circumference of a circle subtends an angle of 128degrees.What is the radius of the circle?
The radius is: 6.267 cm
How do you find the circumference of a circle that has an arc length and angle degree?
The total circumference is (arc length) times (360) divided by (the angle degrees)
The angle between a tangent and a radius of a cicle?
90 degree
What is the definition for degree of an angle?
one three-hundred-and-sixtieth of the circumference of a circle
How do you draw a line 12 long at a 22.5 degree angle?
Draw a circle with radius of 12 units and draw the horizontal diameter. Draw the perpendicular bisector for this line. Bisect the angle that is formed above the horizontal line. Again, bisect the angle that is formed above the horizontal line: extend this line to the circumference of the circle. This line will be 12 units long because it is a radius of the circle. It is a quarter (half of half) of the 90 degree angle and so the incline is 22.5 degrees.
How do you find the degree measure of a central angle in a circle if both the radius and the length of the intercepted arc are known?
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
If you only have the central angle of a circle can you find the radius?
If "the angle" means the angle between two radii at the centre, the answer is no. You need to know the circumference first. Then use radius = circumference divided by 2 x pi.
An arc 14cm long on the circumference of a circle subtends an angle of 128degrees.What is the radius of the circle?
The radius is: 6.267 cm
How do you find the circumference of a circle that has an arc length and angle degree?
The total circumference is (arc length) times (360) divided by (the angle degrees)
What length on a circumference would a 20 degree angle span on a 16 inch flywheel?
Length of arc, with angle x is pi*r*x/180 (where r is the radius) = pi*16*20/180 = 5.59 inches.
The angle between a tangent and a radius of a cicle?
90 degree
What is the definition for degree of an angle?
one three-hundred-and-sixtieth of the circumference of a circle
How do you draw a line 12 long at a 22.5 degree angle?
Draw a circle with radius of 12 units and draw the horizontal diameter. Draw the perpendicular bisector for this line. Bisect the angle that is formed above the horizontal line. Again, bisect the angle that is formed above the horizontal line: extend this line to the circumference of the circle. This line will be 12 units long because it is a radius of the circle. It is a quarter (half of half) of the 90 degree angle and so the incline is 22.5 degrees.
The measure of angle abc equals 30 degrees what is the measure of arc ac?
pi x 6 x radius (ab or bc). Circumference is 2pir, 30 degree arc is 1/12 of circumference. In radian measure 30/57.3 ie 0.52 radians.
Relationship between degree of measure of a central angle and the arc it intercepts?
Arc length is equal to radius times the angle the arc subtends (makes) at the centre of the circle, but the angle needs to be in radians. Set your calculator to radians instead of degrees, or, to change degrees to radians, divide by 180 and times pi. The formula comes from the fact that the length of the arc is proportional to the circumference of the circle in the same ratio as the angle at the centre is to the complete revolution at the centre, so length of arc: circumference of circle = angle size : 360o arc/(2*pi*r) = angle in degrees/360 or angle in radians/(2*pi) so arc length is angle in degrees divided by 360, times the circumference of the circle. Answer will be in the same measurement unit as the radius.
What is the circumference of a circle with the arc length of 19.68 and degree of 94?
75.37 c=(AL)(360) devided by (angle degree)
How do you find the radius when the length of the arc is 12cm and the angle is 78.2?
360 / 78.2 = 4.60 - Gives the number of "slices of pie" of this size in the entire circle 4.60 * 12 = 55.245 - Gives circumference of the circle radius = circumference / 2pi radius = 55.245 / 6.283 = 8.79
