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year 8 maths

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3B

Circumference of circles

129

17 We know that C = 2πr or C = πd .

a Rearrange these rules to write a rule for:

i r in terms of C ii d in terms of C

b Use the rules you found in part a to find the following, correct to two decimal places.

i the radius of a circle with circumference 14 m

ii the diameter of a circle with circumference 20 cm

ENRICHMENT

– –

18

Memorising pi

18 The box shows π correct to 100 decimal places. The Guinness World record for the most number

of digits of π recited from memory is held by Rajveer Meena, an Indian student. He recited

70 000 digits, taking nearly 10 hours.

3.1415926535 8979323846 2643383279 5028841971 6939937510

5820974944 5923078164 0628620899 8628034825 3421170679

Challenge your friends to see who can remember the most number of digits in the decimal

representation of π .

Number of digits memorised

Report

10+ A good show

20+ Great effort

35+ Superb

50+ Amazing memory

Cambridge Maths NSW

Stage 4 Year 8 Second edition

ISBN 978-1-108-46627-1 © Palmer et al. 2018

Cambridge University Press

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