Tangents and Radii

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

Tags

CCSS.HSG.C.A.2

Find the radius r

• 2

• 3

• 4

• 5

Tags

CCSS.HSG.C.A.2

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

Which one of the following is incorrect?

• The tangents drawn at the end points of a chord are parallel.

• The lengths of tangents drawn from an external point to a circle are equal.

• The tangent at any point of a circle is perpendicular to the radius through the point of contact.

• If a chord AB subtends an angle of 70° at the centre of a circle, then angle between the tangents at A and B is also 70°

Tags

CCSS.HSG.C.A.2

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is__________.

• 7 cm

• 12 cm

• 15 cm

• 24.5 cm

Tags

CCSS.HSG.C.A.2

A circle has a number of tangents equal to

• 0

• 1

• 2

• Infinite

A tangent intersects the circle at:

• One point

• Two distinct point

• Never intersects

• None of the above

If the angle between two radii of a circle is 130º, then the angle between the tangents at the ends of the radii is:

• 70º

• 60º

• 50º

• 40º

Tags

CCSS.HSG.C.A.2

The length of the tangent from an external point A on a circle with centre O is

• always greater than OA

• always less than OA

• equal to OA

• Cannot be estimated

Tags

CCSS.HSG.C.A.2

The length of a tangent from a point A at a distance 13 cm from the centre of the circle is 5 cm. The radius of the circle is:

• 5 cm

• 7 cm

• 10 cm

• 12 cm

Tags

CCSS.HSG.C.A.2