Cambridge International Mathematics

3 Find:

a the length of side AB

b the length of the radius of the circle.

4 AB and CM are common tangents to two circles.

Show that:

a M is the midpoint of AB

b AbCB is a right angle.

5 AB is the diameter of a circle with centre O.

AC and BD are any two chords.

If BDOb =®:

a find DBOb

b show that BDOb =ACD.b

6 AB and AC are any two chords which arenotdiameters of a circle with centre O.

X and Y are the midpoints of AB and AC respectively.

Explain why quadrilateral OXAY is a cyclic quadrilateral.

Review set 27B

#endboxedheading

1 Find the value ofx, giving reasons:

abc

de f

A B

C

D

a

O

10 cm 6cm

AB

C

48° x°

O

x°

C

T

A

20°

O

56°

142°

x°

x°

O250°

A M

B

C

x°

79°

x°

562 Circle geometry (Chapter 27)

IGCSE01

cyan magenta yellow black

(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\IGCSE01\IG01_27\562IGCSE01_27.CDR Monday, 27 October 2008 2:40:59 PM PETER