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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


What is 130 degree radius?

A 130-degree radius typically refers to a circular arc or sector with a central angle of 130 degrees. In this context, the radius is the distance from the center of the circle to any point on its circumference. This means that if you were to draw a circle with a radius of a specific length, the arc defined by a 130-degree angle would represent a portion of that circle, covering about one-third of its total circumference.


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.


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