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Question
The length of the arc of a sector of angle θ° of a circle of radius r is ______.
Fill in the Blanks
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Solution
The length of the arc of a sector of angle θ° of a circle of radius r is `underlinebb(θ/360^circ xx 2πr)`.
Explanation:
The arc subtends θ° out of the full 360°, so its length is `θ/360` of the circle’s circumference 2πr; equivalently `l = πr θ/180`.
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