**??? - 2013 JUNE Q10**

10. Fig. 10.1 shows Jean’s back garden. This is a quadrilateral ABCD with dimensions as shown

(i)

(A) Calculate AC and angle ACB. Hence calculate AD. [6]

(B) Calculate the area of the garden. [3]

(ii) The shape of the fence panels used in the garden is shown in Fig. 10.2. EH is the arc of a sector of a circle with centre at the midpoint, M, of side FG, and sector angle 1.1 radians, as shown. FG = 1.8 m.

(A) Calculate AC and angle ACB. Hence calculate AD. [6]

(B) Calculate the area of the garden. [3]

(ii) The shape of the fence panels used in the garden is shown in Fig. 10.2. EH is the arc of a sector of a circle with centre at the midpoint, M, of side FG, and sector angle 1.1 radians, as shown. FG = 1.8 m.

Calculate the area of one of these fence panels. [5]