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Question
The length of an arc of a sector of angle θ° of a circle with radius R is ______.
Options
`(2pi"R"theta)/180`
`(2pi"R"theta)/360`
`(pi"R"^2theta)/180`
`(pi"R"^2theta)/360`
MCQ
Fill in the Blanks
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Solution
The length of an arc of a sector of angle θ° of a circle with radius R is `underlinebb((2pi"R"theta)/360)`.
Explanation:
The whole circumference = 2πR corresponds to 360°.
An arc with central angle θ° is the fraction `θ/360` of the circumference, so arc length = `(θ/360) xx 2πR = (2πRθ)/(360)`.
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