Circles questions | form three Basic Mathematics

In the following figure A, B, C and D lie on the circle; O is the centre of the circle , BD is its diameter and PAT is the tangent of the circle at A.

If , , find , , and .

Answer / Solution

UNSOLVED

In the figure below, BD is a tangent to the circle having the centre O.

Given that angle , find the values of angles marked X,Y and Z.

Answer / Solution

UNSOLVED

A bucket UVST was made from the cone URT such that its top radius is 12cm, bottom radius is 9cm and its depth (PQ) is 10cm.

1. Find the height QR of the cone VRS, using the fact that triangles PRT and QRS are similar.
2. Find the volume of the bucket, giving your answer in four significant figures.

Answer / Solution

UNSOLVED

In the diagram below PA and PB are tangents to the circle. If O is the centre of the circle, find the values of x and y.

Answer / Solution

UNSOLVED

In the figure below, TA and TB are tangents to the circle having centre O. Given that ATB =50°, find

1. angle ABT
2. angle OBA
3. angle ACB

Answer / Solution

UNSOLVED