Given circle with centre O and tangents AB and AC, prove that ABOC is a cyclic quadrilateral.
In circle centre O, CBD is a tangent to the circle and BC = 6 cm. OC = 10 cm. Determine the length of the diameter of the circle.
Circle centre O has tangents PQ and PR. PQ = 24 cm and radius = 7 cm. Calculate the length OP.
Determine the size of the angles marked a to f.
In the circle, centre O, ABC is a tangent and CBˆE = 32°. Determine the size of: a) Oˆ1 b) Dˆ.
In the circle centre O, ABC is a tangent and ABˆE = 48°. Determine the size of Dˆ.
In the diagrams below, determine the value of the letters a to h.
In each of the following, PA and PB are tangents. Calculate the value of x and y for each diagram.
ED is a tangent to the circle and BC = CD. Determine the size of the following angles.
ABC is a tangent to circle centre O. Write the following angles in terms of x.
In the circle with centre O, points A, B and C are on the circumference. AB = BC and ∠BAP = 45°. Prove that AP is a tangent to the circle.
DEF is a tangent to the circle. BC ∥ AE, AB = BC and AE = AC.
AD is a tangent to the circle with centre O, and ∠B = 30°.
CDE is a tangent to the circle. AE ∥ BD.
