Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The minute hand of a clock is 1.5 cm long. What is the distance travelled by its tip during an interval of 40 minutes? (Take $\pi=3.14$ )
Answer
Answer (as printed):
Explanation
Angle traced in $40 \min =\left(\frac{360}{60} \times 40\right)^{\circ}=240^{\circ}$. ∴ Distance travelled by the tip of the hand = Length of arc of a circle with radius 1.5 cm and central angle 240° $$=\left(2 \times 3.14 \times 1.5 \times \frac{240}{360}\right) \mathrm{cm}^{2}=6.28 \mathrm{cm}^{2} .$$