A horse is tied to a peg by a rope of length 30 metre. When the horse moves…
2016
A horse is tied to a peg by a rope of length 30 metre. When the horse moves along a circular path keeping the rope tight and subtends an angle of 105 degrees at the centre, find the distance travelled by the horse from its initial position.
- A.
55 m
55 मीटर - B.
5.5 m
5.5 मीटर - C.
155 m
155 मीटर - D.
25 m
25 मीटर
Attempted by 1 students.
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Correct answer: A
To find the distance travelled, calculate the arc length using radius r = 30 m and angle θ = 105°.
Use the formula: Arc Length = (θ/360°) × 2πr.
Substitute values: L = (105/360) × 2 × (22/7) × 30.
Simplify the fraction 105/360 to 7/24.
Calculate: L = (7/24) × 2 × (22/7) × 30 = 55 m.