Secant and Tangent Angles in a Circle

In the diagram, TP and TQ are tangents to circle O. Determine the value of x. (Note the angles with single arcs are not necessarily congruent in this diagram.)

• 70

• 110

• 140

• 90

Tags

CCSS.HSG.C.A.2

In a circle, if a diameter bisects a chord (that is not a diameter), then:

• it is a secant

• it is parallel to the chord

• it is perpendicular to the chord

• it is just shaking out the sillies

A(n) _____ to a circle is a line, ray or segment in the plane of the circle that intersects the circle in exactly one point.

• tangent

• secant

• radius

• arc

What is x?

• 15

• 23

• 2

• 92

Tags

CCSS.HSG.C.A.2

A line intersecting a circle in two distinct points is called

• Tangent

• Secant

• Centre

• Radius

If two tangents are drawn from an external point then they subtend equal angles at the centre

• TRUE

• FALSE

Tags

CCSS.HSG.C.A.2

The length of tangent from a point A at a distance of 5 cm from the centre of the circle is 4 cm. What is the radius of the circle?

• 2 cm

• 3 cm

• 4 cm

• 5 cm

Tags

CCSS.HSG.C.A.2

From the figure from a point P which is at a distance 13 cm from the centre O of a circle of radius 5 cm , the pair of tangents AP and BP to the circle are drawn. Then the area of the quadrilateral PAOB is

The perpendicular at the point of contact of the tangent to a circle passes through the centre

• TRUE

• FALSE

In two concentric circles the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact

• TRUE

• FALSE