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To find the radius of a circle given a 110-degree central angle and an arc length of 50 units, you can use the formula for arc length: ( L = r \theta ), where ( L ) is the arc length, ( r ) is the radius, and ( \theta ) is the angle in radians. First, convert 110 degrees to radians: ( \theta = \frac{110 \times \pi}{180} \approx 1.919 ) radians. Then, rearranging the formula gives ( r = \frac{L}{\theta} = \frac{50}{1.919} \approx 26.0 ) units. So, the radius is approximately 26.0 units.

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3w ago

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