The minute hand of a clock is 84 cm long. The distance covered by the tip of minute hand from 10:10 am to 10:25 am is (a) 44 cm (b) 88 cm (c). 132 cm (d) 176 cm
Answers
Answer:
c)132cm
Step-by-step explanation:
minute hand= 84cm=radius of the clock
circumference of the circle(clock)= 2πr
=2 x 22/7 x84
=528cm
the hand travelled from 10:10 to 10:25 which is 15 minutes, which is a quarter(1/4) of an hour.
(1/4)x528= 132 cm
hope it helped :))
The distance covered by the tip of 84 cm long minute hand from 10:10 am to 10:25 am is 132 cm
Given:
- The minute hand of a clock is 84 cm long.
- minute hand moved from 10:10 am to 10:25 am
To Find:
- The distance covered by the tip of minute hand
- (a) 44 cm
- (b) 88 cm
- (c) 132 cm
- (d) 176
Solution:
Concept to be used:
Distance covered by tip = arc length
arc length = (sector angle / 360° ) x 2π x (radius)
Minute hand move 360° in 60 minutes hence 6° every 1 minute
Step 1:
Find time between 10:10 am and 10:25 am
= 10 : 25 - 10 : 10
= 0 : 15
= 15 minutes
Step 2:
Find the angle covered by tip of minute hand in 15 minutes
= 15 x 6
= 90°
Step 3:
Use arc length formula and substitute sector angle = 90° , radius = 84 cm and π = 22/7
= (90 / 360) x 2 x (22/7) * 84
= 11 x 12
= 132 cm
correct option is (c). 132 cm
The distance covered by the tip of 84 cm long minute hand from 10:10 am to 10:25 am is 132 cm
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