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Understanding Elementary Shapes | Exercise 5.2

Question 8

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from

(a) 3 to 9

(b) 4 to 7

(c) 7 to 10

(d) 12 to 9

(e) 1 to 10

(f) 6 to 3

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We know that in one complete clockwise revolution, hour hand will rotate by 3600

(a) When hour hand goes from 3 to 9 clockwise, it will rotate by 2 right angles or 1800

∴ Fraction = 1800 / 3600

= 1 / 2

(b) When hour hand goes from 4 to 7 clockwise, it will rotate by 1 right angle or 900

∴ Fraction = 900 / 3600

= 1 / 4

c) When hour hand goes from 7 to 10 clockwise, it will rotate by 1 right angle or 900

∴ Fraction = 900 / 3600

= 1 / 4

(d) When hour hand goes from 12 to 9 clockwise, it will rotate by 3 right angles or 2700

∴ Fraction = 2700 / 3600

= 3 / 4

(e) When hour hand of a clock goes from 1 to 10 clockwise, it will rotate by 3 right angles or 2700

∴ Fraction = 2700 / 3600

= 3 / 4

(f) When hour hand goes from 6 to 3 clockwise, it will rotate by 3 right angles or 2700

∴ Fraction = 2700 / 3600

= 3 / 4

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Question 8

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from

(a) 3 to 9

(b) 4 to 7

(c) 7 to 10

(d) 12 to 9

(e) 1 to 10

(f) 6 to 3

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

We know that in one complete clockwise revolution, hour hand will rotate by 3600

(a) When hour hand goes from 3 to 9 clockwise, it will rotate by 2 right angles or 1800

∴ Fraction = 1800 / 3600

= 1 / 2

(b) When hour hand goes from 4 to 7 clockwise, it will rotate by 1 right angle or 900

∴ Fraction = 900 / 3600

= 1 / 4

c) When hour hand goes from 7 to 10 clockwise, it will rotate by 1 right angle or 900

∴ Fraction = 900 / 3600

= 1 / 4

(d) When hour hand goes from 12 to 9 clockwise, it will rotate by 3 right angles or 2700

∴ Fraction = 2700 / 3600

= 3 / 4

(e) When hour hand of a clock goes from 1 to 10 clockwise, it will rotate by 3 right angles or 2700

∴ Fraction = 2700 / 3600

= 3 / 4

(f) When hour hand goes from 6 to 3 clockwise, it will rotate by 3 right angles or 2700

∴ Fraction = 2700 / 3600

= 3 / 4

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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