A horse is tethered to a stake by a rope 30 meters long. If the horse moves along the circumference of a circle keeping the rope tight, find how far t - Mathematics and Science MCQ UPTET Paper 2 (Maths & Science) 2026 | ExamTest.live

mediumMCQUPTET Paper 2 (Maths & Science)2026Mathematics and Science

1 mark

A horse is tethered to a stake by a rope 30 meters long. If the horse moves along the circumference of a circle keeping the rope tight, find how far the horse has gone from the initial point if the rope has traced an angle of 10 5^{\circ} at the centre?

Solution & Step-by-step Explanation

The distance the horse travels along the path is equal to the arc length of the circle with radius r = 30 m and central angle θ = 10 5^{\circ} . Arc length = \frac{θ}{36 0 ^{\circ}} \times 2 π r Distance = \frac{105}{360} \times 2 \times \frac{22}{7} \times 30 Simplify the terms: Distance = \frac{105}{360} \times 60 \times \frac{22}{7} = \frac{105}{6} \times \frac{22}{7} Distance = \frac{15}{6} \times 22 = \frac{5}{2} \times 22 = 5 \times 11 = 55 m

Try it yourself before checking the explanation above.

A horse is tethered to a stake by a rope 30 meters long. If the horse moves along the circumference of a circle keeping the rope tight, find how far the horse has gone from the initial point if the rope has traced an angle of 10 5^{\circ} at the centre?

55 m

5.5 m

155 m

25 m

Practice with timed mock tests and track your performance across Mathematics and Science.