हिंदी

The length of an arc of a sector of angle θ° of a circle with radius R is ______.

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प्रश्न

The length of an arc of a sector of angle θ° of a circle with radius R is ______.

विकल्प

  • `(2pi"R"theta)/180`

  • `(2pi"R"theta)/360`

  • `(pi"R"^2theta)/180`

  • `(pi"R"^2theta)/360`

MCQ
रिक्त स्थान भरें
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उत्तर

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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अध्याय 16: Area of Circle, Sector and Segment - MULTIPLE-CHOICE QUESTIONS (MCQ) [पृष्ठ ७६०]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 16 Area of Circle, Sector and Segment
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 22. | पृष्ठ ७६०
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