Circle Theorems

A line intersecting a circle in two distinct points is called

• Tangent

• Secant

• Centre

• Radius

In the figure, PA and PB are tangents to a circle with centre O. If \angle AOB=120\degree then what is \angle OPA

Tags

CCSS.HSG.C.A.2

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

• Secant
• Diameter
• Radius
• Chord

Tags

CCSS.HSG.C.A.2

Match the following vocabulary term with its appropriate part of the circle.

• Minor Arc

• Semi-Circle

• Line PR

• Major Arc

• Point of Tangency

• Point V

• Secant Line

The tangents drawn at the ends of a diameter of a circle are

• Intersecting

• Prallel

• Coincident

• None of the above

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

Two concentric circles are of radii 6.5 cm and 2.5 cm. Find the length of the chord of the larger circle which touches the smaller circle

• 10 cm

• 12 cm

• 11 cm

• 7 cm

Tags

CCSS.HSG.C.A.2

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

• TRUE

• FALSE