A circle has a radius of 1 unit with its center located at O and P is an arbitrary point inside the circle. Three straight lines are drawn from P to meet the circle’s circumference respectively at the points A, B and C.
It is known that:
Angle APB = Angle BPC = Angle APC = 120 degrees, and:
Area of sector APB = pi/3 square units, and:
Area of sector BPC = pi/4 square units.
Determine the length of the straight line OP.
(In reply to Looking for the answer
by Dej Mar)
Hehe, I'm sure that you are right; as you can see, I had 3 goes at it!
I agree from my own research that the word 'sector' is not correct. A sector is a pizza slice of a circle. The areas under the chords I suggested are segments; I did not find a special word for the odd shapes in the puzzle.
Over to you!
Posted by broll
on 2010-07-06 02:17:19