Find the area of sector in a circle which is made by 14 cm long minute hand in 18 minutes.
Answer & explanation
Correct answer: option 1
1 circle by a minute hand = 60 mins = 360°
⇒ Angle in 1 minute = \(\frac{360}{60}\) = 6°
⇒ Angle in 18 minutes = 18 × 6 = 108°
Now,
Area of this sector = πr2\(\frac{θ}{360°}\)
⇒ \(\frac{22}{7}\) × 14 × 14 × \(\frac{108}{360}\) = 61.6 cm2