SPC: Question 3
- Author:
- Yoong Kheong
- Topic:
- Circle, Geometry, Symmetry, Tangent Line or Tangent
Check boxes for the following:
1. Hint for (a): Properties of circle.
2. Hint for (b): What is this special triangle?
Blue dots for :
1. Moving the point Z and the centre 0.
Question:
ZW and ZX are tangents to a circle centre 0 and radius x. Given that ZW = 12 units and CZ = 8 units,
(a) find the expression of OZ in terms of x,
(b) calculate the value of x,
(c) find the area of quadrilateral OXZW,
(d) find the area of the shared region.