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What is the length of the arc whose central angle is 30° and radius of the circle is 21 cm?

a

22 cm./ls-eh-

b

28.5 cm./ls-eh-

c

16.5 cm./ls-eh-

d

11 cm./ls-eh-

Answer : Option D
Explanation :

θ=30=30×π180=π6 heta=30^{circ}=frac{30 imes pi}{180}=frac{pi}{6} radian

θ=lr herefore heta=frac{l}{r}

π6=l21Rightarrow frac{pi}{6}=frac{l}{21}

l=21π6=216×227=11 cm.Rightarrow l=frac{21 pi}{6}=frac{21}{6} imes frac{22}{7}=11 mathrm{~cm} .

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