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secondary 3 | E Maths
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secondary 3 chevron_right E Maths chevron_right Singapore

I would really appreciate your help. The ans are written there but I can't get it. I keep getting 3.47p² instead

Date Posted: 3 years ago
Views: 333

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Sanjana
Sanjana's answer
47 answers (Tutor Details)
1st
Perhaps there is a shorter approach but this would be mine:
Area enclosed = Area of trapezium - partial areas of circles
= [ (4p + p) x 4p x 0.5 ] - [(53.13/360) x pi x 16p^2] - {[(90-53.13 + 90)/360)] x pi x p^2 = 10p^2 - 7.4183p^2 - 1.1074p^2
= 1.4743 p^2
= 1.47 p^2

** the angle found using tangent should be left in 2 d.p or more as small differences here have very large difference in the working. Your answer will be off by +/- 0.01 dp or more depending on the d.p of the numbers in your working