Question 4 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.
Class X1 - Maths -Trigonometric Functions Page 55
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Answered by
124
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'
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46
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