In this question lengths are in centimetres and angles are in radians. ![](https://cdn.mathpix.com/cropped/68840ece-e49c-4b14-a720-a9d105d091f7-08.jpg?height=571&width=803&top_left_y=297&top_left_x=242) The diagram shows a circle, centre \(C\), radius 10. The points \(A\) and \(B\) lie on the circumference of the circle. The point \(P\) is such that \(C B P\) is a straight line. The line \(B P\) has length \(x\). The line \(A P\) is a tangent to the circle at \(A\). Angle \(A C B\) is \(\theta\). The perimeter of the triangle \(A P C\) is 38. (a) Show that the value of \(\theta\) is 0.885 radians correct to 3 decimal places. [6] (b) Find the length of the arc \(A B\). [1] (c) Find the area of the sector \(A C B\). [1]

2026 - M/J - 0606/21 | Q8

0/11

0 correct · 0 wrong

In this question lengths are in centimetres and angles ar...