Question

The degree measure of the angle subtended at the centre of a circle of radius 70 cm by an arc of length 33 cm is {Use, n = 22/7 }
(1) 48°
(2) 30°
(3) 33°
(4) 27° ​

Answer 1

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

7

22

)

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Solution To question ID 429772

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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

′

]

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