Get premium membership and access questions with answers, video lessons as well as revision papers.

Form 2 Angle Properties of a Circle Questions and Answers

Form 2 Angle Properties of a Circle Questions and Answers

Lessons (29)

• 1.    Find the values of x and y from the given
  1m 54s

• 2.    Find the values of x and y
  3m 9s

• 3.    In the figure below, calculate #angle#LNP if #angle#PLM = 70° and #angle#KNL = 42°.
  1m 28s

• 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.
  2m 56s

• 5.    In the figure below, #angle#VUZ = 110° and #angle#XVY = 30°. Find the value of #angle#VWY.
  2m 4s

• 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.
  3m 16s

• 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.
  1m 21s

• 8.    Copy and complete the table below. All angles are subtended by the same arc.
  1m 47s

• 9.    In the figure below, O is the centre or the circle. Find obtuse #angle# AOB.
  1m 18s

• 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°.
  2m 14s

• 11.    In the figure below, O is the centre of the circle. Show that the reflex angle #angle# POR = 2 #angle# PQR.
  3m 55s

• 12.    In figure below, O is the centre of the circle. LN and PM are diameters. Show that LM is parallel to PN:
  1m 27s

• 13.    In the figure below, O is the centre of the circle. Calculate x.
  0m 36s

• 14.    In the figure below, O is the centre of the circle and POM is the diameter. If #angle#QLK = 73°, calculate #angle#QNM:
  3m 47s

• 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°.
  1m 28s

• 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.
  2m 39s

• 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°.
  7m 29s

• 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.
  4m 34s

• 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.
  5m 50s

• 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.
  3m 2s

• 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.
  2m 48s

• 22.    Find the values of a and b in the figure below.
  0m 41s

• 23.    In the figure below, calculate the angles marked v, w, x, y and z:
  3m 20s

• 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.
  3m 42s

• 25.    In the figure below, 0 is the centre of the circle. Find the values of x and y.
  2m 21s

• 26.    Find the angles marked by small letters.
  5m 23s

• 27.    In the figure below, O is the centre of the circle. Calculate the value of angle a.
  1m 3s

• 28.    Find the value of x and y.
  0m 59s

• 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°.
  3m 21s