Jabar goes to the playground to play on the swings. The length of each swing is 1.75 m

Question

a. What is the distance travelled on one swing, from maximum height to the next maximum height, if the central angle of the swing is 1.4 rad? Give your answer to the nearest tenth of a metre.

b. Jabar decides to swing higher. If the distance travelled on one swing is 3.5 m, what would be the central angle in degrees? Give your answer to the nearest degree.

Answer 1

Use s = rθ where "s" is the arc length, "r" is the radius, and θ is the angle in radians.

So since r = 1.75 m and θ = 1.4 radians then s = (1.75)(1.4) = 2.45 meters

For s = 3.5, then use s = rθ to find θ