Question

A arc of a circle of radius 3.5cm is 16.5cm long what angle does arc distends at the centre of the circle

Answer 1

Answer:

4.714 radians = 1.5 π or 270.10°

Step-by-step explanation:

Arc of a circle = Radius * Angle at the center (in radians)

16.5 = 3.5 * ∅

∅ = 16.5 / 3.5

∅ = 4.714 radians

∅ = 4.714 * 180/π = 270.10°

Radian to degree conversion:

2 * π radian = 360°

∴ 1 radian = (180 / π )°