Question

find the degree measures of the angle substanded at the centre of a circle of radius 100 cm by an arc of length 22cm .use π 22'7

Answer 1

the answer is in the attachment

Answer 2

Given :l=22cm,r=100cm

θ=lr

⇒22100

θ=0.22radians

We know that

1 radian=(180π)

0.22 radian=0.22×180∘π

⇒0.22×180∘22/7

⇒0.22×180×722

⇒12610=12∘36′

Thus the degree measures of the angle subtended at the centre of the circle is 12∘36′