Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

Find the area of sector in a circle which is made by 14 cm long minute hand in 18 minutes.

Options:

61.6 cm2

65 cm2

70 cm2

56 cm2

Correct Answer:

61.6 cm2

Explanation:

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