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A circle with a radius of 10 inches has an arc intersected by a central angle measuring:

A. 6.67 inches
B. 10.47 inches
C. 20.94 inches
D. 62.8 inches

Answer :

Final answer:

In this case, the concept of arc length and radius are interrelated. For a circle with a given radius, the arc length is directly proportional to the radius.

Explanation:

The question asks us to deal with the concept of arc length in a circle. The arc length is the distance traveled along a circular path. Radius and arc length are connected through the concept of rotation angle, often measured in radians. For a circle of radius 'r', the circumference is 2πr which also represents the arc length for one complete revolution (360 degrees or 2π radians).

The idea here is that the arc length is directly proportional to the radius of the circular path. Keeping this relation in mind, none of the provided options (a, b, c, d) would represent a central angle as they are in inches and seem to be interpretating arc lengths rather than angles. To find the central angle corresponding to an arc length, you will arrange the formula A0=2πr to get the angle A0=AS/r which is in radians.

Learn more about Arc Length here:

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