- [Maximum mark: 6]
A sheep is in a field in the shape of a triangle, ABC.
AC = 21 metres, AB = 15 metres and CÂB = 78°.
A goat is in an adjacent field in the shape of a sector of a circle with centre, A, and radius 8 metres.
The fields are shown in the diagram.
Determine which animal, the sheep or the goat, is in the field with the larger area, and state how many extra square metres are in this larger field.