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since both sides of tangent equal and you studied in ur IGCSE"S that angle between tangent and radi is 90 degree!http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s06_qp_1.pdf
Question 9, part i, i did uptil finding the equation, but what about after that?! how did they find the points?
so < OAT and <OBT are 90 degree,,,, so you got a triangle OAT or OBT and use trignometry to find the half of < AOT and then multiply with 2 !
same thing for area ... find area of one of the tiangle and multiply with two A=0.5 *bas*height