Keith Lee's answer to Varsha's Junior College 2 H2 Maths Singapore question.

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Keith Lee
Keith Lee's answer
258 answers (Tutor Details)
1st
Clue: Find green angle using trigonometry. Then find area of shaded red sector. Few more steps after that.
J
J
5 years ago
Alternative way to find the green angle without using trigo :

Both triangle CBA and DBA are right angled isosceles triangles.

So angle CBA and angle DBA are just 45°
((180°- 90°)/2)

then, angle CBD is the sum of the two angles.
Keith Lee
Keith Lee
5 years ago
Oh yes! That’s definitely the most efficient and recommended way
J
J
5 years ago
Looking at this question again, I realised that ∠CBD = 90° (angle in a semicircle)