Question

A ceiling fan has 3 wings as ahown in the figure .Find the length of arc described between two consecutive wings,where length of each wing is 0.98m

Answer 1

Here, the angle between 2 blades is 90°. So, the ratio of this angle to 360 degrees will be 90/360 = 1/4. Thus, the length of the arc will be 1/4th of the circumference of the circle, which equals 2πr, according to the formula for circumference.

Thus, length of arc = (1/4)(2πr) = (1/4)(2π(.98)) = 0.49π = 1.54 m.