Question

Find the degree measure of the angle subtended at the center of a circle of radius 100 cm by an arc of length 22 cm. (Useπ= 22/7 )///////

Answer 1

Answer:

We know that in a circle of radius r unit, if an arc of length l unit

subtends an angle θ radian at the centre, then θ=

r

l

Therefore, for r=100 cm, l=22 cm, we have

θ=

100

22

radian=

π

180

×

100

22

degree=

22×100

180×7×22

degree

=

10

126

degree=12

5

3

degree=12

∘

36

′

,[∵1

∘

=60

′

]