KeerthanaPosted on What is the length of the arc whose central angle is 30° and radius of the circle is 21 cm? a22 cm./ls-eh- b28.5 cm./ls-eh- c16.5 cm./ls-eh- d11 cm./ls-eh- Answer : Option DExplanation : θ=30∘=30×π180=π6 heta=30^{circ}=frac{30 imes pi}{180}=frac{pi}{6}θ=30∘=18030×π=6π radian ∴θ=lr herefore heta=frac{l}{r}∴θ=rl ⇒π6=l21Rightarrow frac{pi}{6}=frac{l}{21}⇒6π=21l ⇒l=21π6=216×227=11 cm.Rightarrow l=frac{21 pi}{6}=frac{21}{6} imes frac{22}{7}=11 mathrm{~cm} .⇒l=621π=621×722=11 cm. Rate This:NaN / 5 - 1 votesAdd comment