Question

an Arc of a circle of radius 7 cm substance and angle of 60 degree at the centre. Find the length of the arc ​

Answer 1

$\Large\underline{\underline{\sf \green{Given}:}}$

• Radius of circle (R) = 7cm

• Angle at Centre of circle = 60°

$\Large\underline{\underline{\sf \green{To\:Find}:}}$

• Length of arc (L) = ?

$\Large\underline{\underline{\sf \green{Formula\:Used}:}}$

${\boxed{\sf \red{Arc\: Lenght=Fraction\:of\:circle× Circumference\:of\:circle} }}$

$\Large\underline{\underline{\sf \green{Solution}:}}$

$\implies{\sf L=\dfrac{\theta}{360}×2πr }$

$\implies{\sf L=\dfrac{60}{360}×2×3.14×7}$

$\implies{\sf L=\dfrac{1}{6}×43.9}$

$\implies{\sf L=7.32\:cm }$

$\Large\underline{\underline{\sf \green{Answer}:}}$

⛬ Length of arc is 7.32 cm.