MENU
Educational Resources
Exam Papers
Form 1 Videos
Form 2 Videos
Form 3 Videos
Form 4 Videos
Grade 4 Videos
Grade 5 Videos
Grade 6 Videos
Grade 7 Videos
Class 8 Videos
Form 1 Exams
Form 2 Exams
Form 3 Exams
Form 4 Exams
KCSE Videos
Class 8 Exams
Grade 5 Exams
Grade 4 Exams
Grade 3 Exams
Grade 2 Exams
Grade 1 Exams
Online Tests
Online Tuition
Sign In
Join
Get access to thousands of educational resources
Get premium membership
and access revision papers with marking schemes, video lessons and live classes.
OR
Processing. Please wait.
Form 2 Angle Properties of a Circle Questions and Answers
In the figure below, 0 is the centre of the circle. Find the values of x and y.
(2m 21s)
887 Views
SHARE
|
« Previous
Next »
1.
Find the values of x and y from the given
2.
Find the values of x and y
3.
In the figure below, calculate #angle#LNP if #angle#PLM = 70° and #angle#KNL = 42°.
4.
In the figure below, 0 is the centre of the circle. The reflex angle AOD = 256° and #angle#ACE = 50°. Calculate: (a) #angle#BDC (b) #angle#BAE.
5.
In the figure below, #angle#VUZ = 110° and #angle#XVY = 30°. Find the value of #angle#VWY.
6.
In the figure below, 0 is the centre of the circle and BA is parallel to CD. If #angle#BAC = 31°, calculate #angle#BCO and #angle#ADE.
7.
In the figure below, WXYZ is a cyclic quadrilateral and VWZ a straight line. Angle VWX = 97° and #angle#XZY = 43°. Calculate the size of angle ZXY.
8.
Copy and complete the table below. All angles are subtended by the same arc.
9.
In the figure below, O is the centre or the circle. Find obtuse #angle# AOB.
10.
The figure below shows a circle with the centre at 0: Find the values of a, b, c and d if #angle# PQO = 40° and #angle# PSO = 30°.
11.
In the figure below, O is the centre of the circle. Show that the reflex angle #angle# POR = 2 #angle# PQR.
12.
In figure below, O is the centre of the circle. LN and PM are diameters. Show that LM is parallel to PN:
13.
In the figure below, O is the centre of the circle. Calculate x.
14.
In the figure below, O is the centre of the circle and POM is the diameter. If #angle#QLK = 73°, calculate #angle#QNM:
15.
In the figure below, O is the centre of the circle and DOB is the diameter. Find x and y if ABCO is a rhombus and #angle#AOD =120°.
16.
In the figure below, O is the centre of the circle. BOD is the diameter, AC=BC and #angle#BAC = 25°. Find the size of: (a) #angle#AOD. (b) #angle#BAO.
17.
AB and CD are intersecting chords of a circle with centre O. If AB is the diameter of the circle, show that: (a) #angle#AOC = 2 #angle#ABC. (b) ADB = 90°.
18.
Two circles with centres O and R intersect at P and Q as shown in the figure below. OR cuts the circles at S and T respectively. If #angle#AOR = 150° and #angle#BRO = 120°, find a, b and c.
19.
In a circle KLMN with centre O, the diagonals of quadrilateral KLMN intersect at R #angle#LKM=38°, #angle#LNK = 64° and #angle#KRN = 82°. Find: (a) #angle#KNM. (b) #angle#LMN. (c) #angle#KLM.
20.
The figure below shows a circle ABCD, centre O. BO is perpendicular to the diameter AOD and #angle#COD = 30°. Calculate. (a) #angle#BCA. (b) #angle#CAD.
21.
ACB is a circle, centre O, with diameter AB perpendicular to BD as shown in the figure below. If BC = BD = CD and DO is perpendicular to BC, find p and t.
22.
Find the values of a and b in the figure below.
23.
In the figure below, calculate the angles marked v, w, x, y and z:
24.
In the figure below, O is the centre of circle ABCDE and BOE is the diameter: #angle#COD = 80° and CB = CD. Calculate the angles marked p, q, r and s.
25.
In the figure below, 0 is the centre of the circle. Find the values of x and y.
26.
Find the angles marked by small letters.
27.
In the figure below, O is the centre of the circle. Calculate the value of angle a.
28.
Find the value of x and y.
29.
Two equal chords WX and YZ are produced to meet at T. If #angle#WYX = 73° and #angle#YZW = 37°, show that #angle#TZX = #angle#XWY = 70°.
×
Share Content Via:
Facebook
Twitter
WhatsApp
Close
Get premium membership