Radius of a circle is 7 cm. Find the angle in radians which is subtended by an arc of this circle of length 5.5 cm at the centre of the circle.
WBBSE
Class X
Mathematics
Concept of Measurement of Angle
03 Mark
2023
Length of arc = 5.5 cm
Radius of the circle = 7 cm
Angle substend by arc (θ) = 5.5\over 7 = 11\over 14 radians
or, Angle substended by arc at the centre
= 11\over 14 × 180\over π
= 11\over 14 × 180 × 7\over 22
= 45º or π/4
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