Math  /  Geometry

QuestionFind the central angle in radians and degrees for an arc length of 10 inches on a circle with radius 4 inches.

Studdy Solution
Calculate the central angle in degrees.
degrees=2.5radians×180π143.24degreesdegrees =2.5\, radians \times \frac{180}{\pi} \approx143.24\, degreesThe central angle for an arc of a circle of radius4 inches whose arc length is10 inches is approximately2.5 radians or143.24 degrees.

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