In the given diagram, AC is a tangent to the circle with centre O:
State the size of angle x.
In the given diagram, RS is a tangent to the circle with centre O:
Find the size of angle x.
In the given diagram, JL is a tangent to the circle with centre O:
If JO = 20 and JK = 16, find the length of the radius OK.
Find the size of angle x in the given diagram:
In the given diagram, AC is a tangent to the circle:
Find the size of angle n.
In the given diagram, PQ is a tangent to the circle:
Find \angle YZT.
In the given diagram, PT is a tangent to the circle with centre O:
Find the size of angle b.
Show all working and reasoning.
In the given diagram, DE is a tangent to the circle:
Find the size of angle x.
Show all working and reasoning.
In the given diagram, PT is a tangent to the circle:
Find the size of angle f.
Show all working and reasoning.
In the given diagram, both AB and AC are tangent to the circle with centre X:
Prove that AB = AC using congruent triangles.
Show all working and reasoning.
Solve for the pronumerals in the following diagrams:
Two tangents BA and BC are drawn from an external point B to the circle with centre O:
Find x.
Show all working and reasoning.
In the following diagram, AB, BC and AC are all tangents to the circle:
Find p, the perimeter of \triangle ABC.
In the diagram, tangents AB and AC meet at the external point A:
Find the size of angle x.
Show all working and reasoning.
In the diagram, TU and TV are tangents to the circle with centre O:
Find the size of \angle SUV.
Show all working and reasoning.
In the diagram AB is a tangent to the circle and \angle BCD = 106 \degree:
Find the size of angle x.
Show all working and reasoning.
In the given diagram, CD is a tangent to the circle:
Prove that CD^{2} = CA \times CB using similar triangles.
In the diagram, chords AB and DC are produced to an external point P at which they intersect:
Prove that PB \times PA = PC \times PD using similar triangles.
For each of the following, determine the exact value of x:
For each of the following diagrams, find the exact value of x:
In the diagram, points A, B, C and D lie on a circle, and AC and BD intersect at point E:
Prove that AE \times EC = BE \times ED using similar triangles.
Find z in the given diagram, correct to three decimal places.
Find the exact size of the radius, r, of the given circle:
