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the arc length of a circle 14π. if the radius of the circle is 14, what is the measure of the angle?
Arc length = (x/360)2 pi r
Substitute
14pi = (x/360) 2 pi 14
Algebraically rearrange
14 pi / 14 pi = (x/360) x 2
Cancel down '14 pi'
Hence
1 = (x/360) x 2
360 = 2x
x = 180 degrees. The Answer.
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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
How do you draw an arc with a given length and known radius?
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.
What is the length of an arc of a circle?
The length of an arc of a circle refers to the product of the central angle and the radius of the circle.
Equation for the diameter of a circle?
It depends on what other information you have: area, circumference, radius, length of arc subtending a known angle, measure of angle for a known arc length etc.
How do you find the central angle of a circle if I am given the arc length and radius?
(arc length / (radius * 2 * pi)) * 360 = angle
What are the dimensionof angle?
Angle is dimensionless. It's actually the ratio of two lengths ... the length of an arc of the circle to the length of the radius of the circle. That ratio is the same number for the same angle in any-size circle, and it's directly proportional to the angle that cuts the arc. When you measure angles in radians, the angle IS that number.
How do you calculate the length of an arc of a circle?
The length of the arc is equal to the radius times the angle (angle in radians). If the angle is in any other measure, convert to radians first. (radians = degrees * pi / 180)
How do you work out the circumference of a circle using radius?
The formula for calculating the circumference of a circle is 2πr, where r is the radius of the circle and π is 3.1415926535890793 - usually shorted to either 3.1416 or 3.14 So that the circumference of a circle with a radius of 10 units is 62.83 units There are pi radians in a half of a circle. Thus, the measure of a central angle which is a straight line is pi radians. We have a formula that show that the length of an intercepted arc is equal to the product of the angle in radians that intercepts that arc, with the length of the radius of the circle. So we can say that the length of a semicircle is (pi)(r). In a full circle are 2pi radians. So the length of intercepted arc from a central angle with measure 2pi is 2(pi)(r).
What is the general rule for establishing the correct length of the arc?
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.
What is the formula for the measure of an arc?
The length of an arc of a circle of radius r, which subtends an angle of x radians at the centre is r*x.
If the radius of a circle is doubled how is the length of the arc intercepted by a fixed central angle changed?
If the radius of a circle is tripled, how is the length of the arc intercepted by a fixed central angle changed?
How do you find radius of a circle if given arc length?
you will need to know the angle subtended by the arc; arc length = radius x angle in radians
