Geometry

In Fig 2.30, O1 and O2 are the centres of the smaller and the larger circles respectively. TA is a tangent to the smaller circle and SC is a common tangent to both circles. QCP and TABP are straight lines.

a) If angle QCA=72, find angle ACB.

b) Show that QH//KP.

c) If the radius of the larger circle is twice that of the smaller circle and QC=8cm, find AP. (Give the answer correct to 1 decimal place.)

1.jpg (22.7 KB)