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Circle C is shown. Line segments A C and B C are radii. The length of C B is 18. Angle A C B is 140 degrees. Arc A B is labeled s.

What is the measure of the central angle?




What ratio represents the measure of the central angle compared to the measure of the entire circle?




If s = StartFraction theta Over 360 degrees EndFraction (2 pi r), what is the length of minor arc AB?

Circle C is shown Line segments A C and B C are radii The length of C B is 18 Angle A C B is

Answer :

The length of the arc of the circle that has a radius of 18 is calculated as approximately: 43.98 units.

What is the Length of an Arc?

The length of an arc is a portion of the circumference of a circle. It is equal to the circumference of the circle multiplied by the ratio of the arc angle to the total angle of a circle, which is 2π radians or 360 degrees. So, the formula for the length of an arc is:

= (Arc angle/360°) x 2πr (where r is the radius of the circle).

The measure of the central angle as shown in the circle given is: 140 degrees.

The ratio that represents 140 degrees compared to the measure of the entire circle is: 140/360 = 7/18

Where radius = 18, we have:

length of arc = 7/18 * 2 * π * 18 ≈ 43.98 units.

Learn more about length of arc on:

https://brainly.com/question/8020286

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Rewritten by : Jeany

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