The hour and minute hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distances travelled by their tips in 2 days ?
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Answers
Answer:
13.07 m
Step-by-step explanation:
1 circle = perimeter = 2 * Pie * R
Hour clock in 1 circle = 2 * (22/7)* 4 = 176/7 cm
2 days = 48 hrs = 4 cycle by hour clock ( as hour clock complete one cycle in 12 hrs)
Distance traveled by Hour clock = 4 * 176/7 = 704/7 cm
Minute clock in 1 circle = 2 * (22/7)* 6 = 264/7 cm
2 days = 48 hrs = 48 cycle by Minute clock ( as minute cycle cover one circle in 1 hr)
Distance traveled by Minute clock = 48 * 176/7 = 8448/7 cm
Total distance = 704/7 + 8448/7 = 1307.43 cm
= 13.07 m
Answer:
Given :
Length of short hand = 4 cm
Length of long hand = 6 cm
We know short hand make 1 revolution in 12 hours while long hand in 1 hour.
Distance travelled by short hand in 48 hours = 4 × 2 π × 4 = 32 π cm
Distance travelled by long hand in 48 hours = 48 × 2 π × 6 = 576 π cm
Total distance travelled = 32 π cm + 576 π cm = 608 π cm