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A sector of a circle has a radius of 140m and a central angle of 80 degrees. Calculate the arc length.
Mathematics
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Step-by-step solution
2 stepsIdentify the shape and its dimensions.
The figure represents a sector of a circle. A sector is defined by two radii and the arc connecting their endpoints.
From the diagram:- The length of one radius () is 140 m. Since both straight sides of a sector are radii, the other straight side is also 140 m.
- The angle between the two radii (the central angle, ) is .
Calculate the length of the arc.
The formula for the arc length of a sector is , where must be in radians.
First, convert the central angle from
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