The diagram shows a triangle ABC with AB=12 cm, AC=9 cm and angle CAB=0.8 radians. An arc with centre A and radius 9 cm is drawn inside the triangle as shown. The shaded region is bounded by this arc, the line segment BC and part of the line segment AB.
2(a)Radians Circular MeasureHard4 marks
Find the perimeter of the shaded region. Give your answer correct to 3 significant figures.
Length of the arc
cm
Use the cosine rule to find BC
0 words
BC
cm
Perimeter of the shaded region
cm
2(b)Radians Circular MeasureMedium3 marks
Find the area of the shaded region. Give your answer correct to 3 significant figures.
Show your method for the area of the triangle and the area of the sector