So today I sat an exam for one of my maths modules and I think it went well except for one question. One question that nobody I have spoken to could do and even now with google at hand I still cannot do! I assumed there must be some kind of theorem for this but if there is I can't find it. I usually laugh at people who use the student room after an exam because it doesn't help anyone - the exam is over. But I decided that the frustration of not knowing the answer was bigger than the frustration of knowing I could have known the answer this time! But I still can't find the answer!?
I know nobody reads this but it would be amazing if anybody could find the answer? I'm just about to email my teacher so you can race her!
So the radius of the sector was 6cm and the angle was in radians. We had to find the radius of the circle. I tried everything I can think of including drawing out a rough sketch of a complete circle with this pattern repeated 6 times, trying to use congruent triangles and drawing in a new diameter from the centre of the sector downwards... Is it to do with tangents? Or a theorem? Help?
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