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 )////////
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Answered by
0
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
′
]
Answered by
522
Radius of Circle = 100 cm
Length of Arc = 22 cm
Degree measure of the angle subtended at the centre of a circle.
Using Formula,
Putting Values,
Now,
Hence, The Degree measure of the angle subtended at the centre of a circle is 12°36'.
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