An arc of length 2.5 cm of a circle subtends an angle of θ radian at the center "0" of diameter 6 cm, the value of θ is?
- 0.833 radian
- 7 radian
- 5.1 radian
- None of these
Explanation
Given:
Arc length = 2.5 cm
Diameter = 6 cm, so radius (r) = 3 cm
The formula for arc length is:
Arc length = θr
2.5 = θ * 3
θ = 2.5 / 3
θ = 0.833
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