??? - 2016 JUNE Q6
A sector of a circle has radius r cm and sector angle θ radians. It is divided into two regions, A and B. Region A is an isosceles triangle with the equal sides being of length a cm, as shown in Fig. 6.
(i) Express the area of B in terms of a, r and θ. [2]
(ii) Given that r = 12 and θ = 0 8. , find the value of a for which the areas of A and B are equal. Give your answer correct to 3 significant figures. [2]
(ii) Given that r = 12 and θ = 0 8. , find the value of a for which the areas of A and B are equal. Give your answer correct to 3 significant figures. [2]