In the given figure, O is the centre of the sector. ∠ROQ=∠MON=60o. OR = 7 cm, and OM = 21 cm. The sum of the lengths of arc RXQ and arc MYN is _____. (Use π=227 )
A
7.33 cm
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B
22 cm
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C
29.33 cm
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D
36.66 cm
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Solution
The correct option is C 29.33 cm In the given figure, ∠ROQ=∠MON=θ=60o
Radius of the sector ORXQ is OR =7cm
∴ Length of the arc RXQ =θ360×2πr =60360×2×227×7 =7.33cm
Radius of the sector OMYN is OM = 21cm ∴ Length of the arc MYN =θ360×2πr =60360×2×227×21 =22cm
The sum of length of arc RXQ and arc MYN is 29.33 cm.