Question

A ceiling fan has three wings find the length of arc described between the wings. If the length of the wing is 0.98m.

Answer 1

three wings angle = 360
one wing angle = 360/3=120

Length of arc= 120/360×22/7×0.98
= 1/3×44/7×0.98
= 44/21×0.98
=43.12/21 = 2.053 m

Answer 2

Length of arc described between the wings is 2.05 m.

• The ceiling fan has 3 wings .
• Angle between 2 winds will be 360° ÷ 3 = 120°.
• We have to find the length of arcs described between the wings.
• Length of the wing is given as 0.98m.
• The fan rotates and forms a circle with radius as the length of arc and the angle between wings is 120°.
• Now we calculate the length of arc between the wings using the length of arc formula,

Length of arc = $\frac{\theta}{360}$ × 2πr

• Now , we substitute the values, r= 0.98 and θ = 120°

Length of arc = $\frac{120}{360}$ × 2π(0.98)

Length of arc = $\frac{1}{3}$ × 2π(0.98) = 2.05 m