Find the arc length of a circle that has a 6-inch radius and a central angle that is 65 degrees. Use 3.14 for π and round your answer to the nearest hundredth. Choose the answer from the choices provided.
A. 0.65 inch
B. 1.13 inches
C. 6.80 inches
D. 390.01 inches

Respuesta :

The arc length is calculated by using the equation below:

Arc length = 2πr ( C/360)

where r is the radius and C is the central angle.

Arc length = 2π(6) ( 65/360)
Arc length = 6.81 inches

Therefore, the correct answer is option C.

The arc length of circle is 6.81. thus option C is correct.

How is the radius used to compute arc length?

The arc length formula for a circle is times the radius of a circle. When is in radian, the arc length formula in radians is arc length = r. Arc Length = (/180) r, where r is the angle in degrees and L is the length of an arc.

The following equation is used to compute the arc length:

Where r is the radius and C is the central angle, arc length = 2r (C/360).

2(6) (65/360) arc length

The length of the arc is 6.81 inches.

As a result, option C is the proper response.

Learn more about circle here:

https://brainly.com/question/16403495

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