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secondary 4 | E Maths
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Annela
Annela

secondary 4 chevron_right E Maths chevron_right Singapore

For qn 7, why i cannot use this volume of cone formula and why do i have to use similar figures

For qn 10, why angle coa and angle cba are not opposite segments? And instead angle cda and angle cba are opposite segments?

Thank you

Date Posted: 4 years ago
Views: 228
Eric Nicholas K
Eric Nicholas K
4 years ago
Good morning Annela!

Using similar figures would be more appropriate because both the heights and radii of the two related cones are unknown, but they are related. Using volume of cone is possible but will eventually reduce into the similarity statement.

Will look at the rest later.
Eric Nicholas K
Eric Nicholas K
4 years ago
Good afternoon Annela!

If you draw the line from C to A, you will realise that triangle COA and triangle CDA are on the same side of the chord CA, so these are considered to be in the “same segment”. Whereas triangle CBA is on the other side and is in the “opposite segment” as triangle CDA in the cyclic quadrilateral.

When we use the cyclic quadrilateral rule (i.e. opposite segments rule), we must Ensure that the angles which we use must ALL touch the circumference of the circle; O is not on the circumference so we cannot use COA and CBA.

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Eric Nicholas K
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Good evening Annela! Here are my workings for Q7.
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Eric Nicholas K
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5997 answers (Tutor Details)
Good evening Annela! Here are my workings for this question.