## Exam-Style Question on Trigonometry## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 35. This question is similar to one that appeared on an IB Standard paper in 2013. The use of a calculator is allowed.

The diagram shows a circle of radius 8.6cm with points ABCD on the circumference of the circle.

(a) Find the length of line AC.

(b) Find angle ACD.

(c) Use your answer to part b to find angle ACB.

(d) Find the area of triangle ADC.

(e) Find the total area of the shaded regions.

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