Question

5.
Find the degree measure of the angle subtended
at the centre of a circle of radius 100 cm. by
arc of length 22 cm.
[NCERT)
​

Answer 1

Answer:

Step-by-step explanation:

Concept :- use formula

∅ = L/R

Where , ∅ is the angle subtended at the centre of circle.

L is the arc length of the circle.

R is the radius of the circle.

and then use the concept of

C/π = D/180° for radian to degree conversion.

Solution:-

L = 22 cm

R = 100 cm

So, ∅ = 22/100 radian

Now,

D = ( 22/100)×180°/π

= ( 22×180×7/100×22)°

= (63/5)°

= 12° + (3/5)×60'

= 12°36'

Answer 2

Answer:

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Step-by-step explanation:

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

′

]