Question

In the figure below SBT is the tangent to the circle at B. O is the centre of the circle. CB=3cm, AB=6cm and angle BAC=32°.

Find:

1. The diameter of the circle  
2. Angle BOT  
3. Angle ACB  
4. Angle AMB
5. Angle CBT 

Answer 1

1. Diameter of circle
   CA=√(6² + 3²)= √45
    =6.708cm
2. Angle BOT 
   =64°
3. Angle ACB
   =58°
4. Angle AMB
   116 = 58°
     2
5. Angle CBT
   =32°