Hi all. Befuddled for two nights because of this question. I seemed to have used all the tricks in the bag(e.g Pythagoras' Theorem, Cosine Rule, Area of Sector) but I still can't get past the 'showing' part of the question. And I have no idea how to start for the latter part of the question. So here goes the question:
Circle ABC, centre P, touches the sides of quadrant ODE, centre O, at the points A,B and C and OD=6cm. Show the radius of the circle ABC is 2.49cm. Hence or otherwise, find the length of minor arc AC and the area of the shaded region.
Hope to hear from you all soon. Thanks in advance.
1) How do you prove that the line joining O and P will pass through C? Is there some kind of theorem?
2) OP=r+?. I mean how do you find the length from O to the circumference of circle ABC. If we don't know it, we would have to take it to be another unknown, in which case we would have two unknowns, thus complicating matters.
Hope to hear from you soon. Thanks for your quick reply.