Question

Find the length of the arc of a circle of radius 9 cm subtending an angle of 110° at the centre.​

Answer 1

the angle subtended at the centre of the circle is 90°

Answer 2

Length of arc L = (110/9) cm

Radius = 10 cm

If Ø is the angle (in radians) subtended at the center,

L = r Ø

Ø = L/r = (110/9)/ 10

= 11/9 rad

Now, π rad = 180°

Therefore,

(11/9) rad

= (11/9) x 180/π

= 70.02

≈ 70º

Ans: 70º

HOPE THIS HELPS U