Consider triangle ABC where AB=5cm and AC=BC=3cm. A is the center of a 3 cm circle which intersects AB at X and B is the center of a circle which cuts AB at Y.
a. draw and label a figure of the scenario
b. find the size of angle CAB, giving your answer in both degrees and radians. give the radian measure both in terms of pi and in terms without pi.
c. the region R is bounded by the arcs CX, CY, and the straight XY. Find:
i. the length of the perimeter of R
ii. the area of the sector ACX
iii. the area of the region R
