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What is the measure of the central angle of a circle with the arc length of 29.21 and the circumference of 40.44?
Wiki User
∙ 10y ago
arc length/circumference = central angle/2*pi (radians)
So, central angle = 2*pi*arc length/circumference = 4.54 radians.
Or, since 2*pi radians = 360 degrees,
central angle = 360*arc length/circumference = 260.0 degrees, approx.
Wiki User
∙ 10y ago
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What is the circumference of a circle with a length of an arc 28.61 with a central of 120 what is 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
What kind of unit does a circle have?
A circle can have a unit of length which could be either a measure of its diameter or radius, or of its circumference. Or the circle could have the unit of area.
How do you find the arc length when the central angle is given?
Well, in degrees, the arc is congruent to its central angle. If the radius is given, however, just find the circumference of the circle (C=πd). Then, take the measure of the central angle, and divide that by 360 degrees. Multiply the circumference by the dividend, and you will get the arc length. This works because it is a proportion. Circumference:Arc length::Total degrees in triangle:Arc's central angle. Hope that helped. :D
What is the circumference of a circle in words?
The circumference of a circle is the length or distance around the outside of the circle.
What is the length around a circle called?
circumrenceThe length around a circle is called the circumference
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 find the arc length with the angle given?
An arc can be measured either in degree or in unit length. An arc is a portion of the circumference of the circle which is determined by the size of its corresponding central angle. We create a proportion that compares the arc to the whole circle first in degree measure and then in unit length. (measure of central angle/360 degrees) = (arc length/circumference) arc length = (measure of central angle/360 degrees)(circumference) But, maybe the angle that determines the arc in your problem is not a central angle. In such a case, find the arc measure in degree, and then write the proportion to find the arc length.
What is the circumference of a circle with a length of an arc 28.61 with a central of 120 what is 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
How do you find the length of the arc of a circle with only the measurement of the central angle and the Circumference?
The entire circumference has a central angle of 360 degrees. The arc is a fraction of the circumference. The fraction is (central angle) divided by (360). So the arc length is: (circumference) x (central angle) / (360) .
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 measure of the arc of a circle intercepted by a central angle that measures 64 degrees?
64°/360° = 8/45 of the circle = 0.1777 (rounded, repeating)The arc's length is 8/45 of the circle's total circumference.
Find the measure of the central angle with the arc length of 29.21 and the circumference of 40.44?
260.03
What is the measure of a central angle with a circumference of 9 and an arc length of 1?
40 degrees
What kind of unit does a circle have?
A circle can have a unit of length which could be either a measure of its diameter or radius, or of its circumference. Or the circle could have the unit of area.
If the arc on a particular circle has an arc length of 12 inches and the circumference of the circle is 48 inches what is the angle measure of the arc?
The angle measure is: 90.01 degrees
What is the circumference of a circle in words?
The circumference of a circle is the length or distance around the outside of the circle.
What is the length around a circle called?
circumrenceThe length around a circle is called the circumference
