Circles Test - ...

Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation.

The length of the tangents from a point A to a circle of radius $$3$$ cm is $$4$$ cm. The distance (in cm) of A from the center of the circle is:

In the given figure, if OC $$=$$ 9 cm and OB $$=$$ 15 cm, then BC $$+$$ BD is equal to:

Out of the two concentric circles, the radius of the outer circle is $$5\ cm$$ and the chord $$AC$$ of length $$8\ cm$$ is a tangent to the inner circle. Find the radius of the inner circle.

In the figure, AT is a tangent to the circle with center O such that OT $$=$$ 4 cm and $$\angle OTA =30^{0}$$. then AT is equal to

If radii of two concentric circles are 4 cm and 5 cm, then the length of each chord of one circle which is tangent to the other circle is

Two tangents are drawn from an external point P (as shown in fig.) such that $$\angle OBA=10^{\circ}$$ . Then angle $$\angle BPA$$ is.

Write True or False:

In the figure, PT is a tangent to the circle with centre O. If $$ PT = 30$$ cm and diameter of the circle is 32 cm, then the length of line segment OP will be

In above Figure, AB is a chord of a circle with centre O, AC is a tangent at A, making an angle of $$80^{\circ}$$ with AB. Then $$\angle AOB$$ is equal to: