Question

find the length of an arc of a circle of radius 10.5cm, if the angle subtended by the arc at the center of the circle is 60°.​

Answer 1

Answer:

$3.5\pi$

Step-by-step explanation:

Let the length of the arc be 's' and angle '∝'

$\alpha =60 deg=\frac{\pi }{3} rad$

$s=r\alpha \\s=10.5*\frac{\pi }{3}\\ s=\frac{10.5\pi}{3} \\s=3.5\pi$

Answer 2

length of the arc = ∅÷360°×2×pi×r

                          =60÷360°× 2×22÷7×10.5

                            =22÷7×3.5

                             =77÷7

                              =11cm