Circles Test - ...

RS is the diameter of the circle as shown in the diagram. P is a point lying outside the circle. RPS is

In the given figure, O is the centre of the circle. If DAC = 54^o and ACB = 63^o, then BAC =

In the figure given below, O is the centre of the circle. Line AB is tangent to the circle and B is the point of contact, and line DC is also the tangent to the circle and C is the point of contact. If the circle has a radius of 3 cm, then AC is equal to

In the given figure, AB is the diameter of the circle.


If PAB = 45° and AQB = 25°, then BPR is equal to

Given a circle as shown in the figure below. If the length of arc ABC is 12 cm, then length of arc ADC is

In the given figure, AOB is a diameter of a circle with centre O. If BOD = 140°, then find the measure of ACD.

A triangle ABC is inscribed in a circle and the bisectors of the angles meet the circumference at X, Y, Z. The angles of the triangle XYZ are

In the given figure, O is the centre of the circle. If ACB = OAB, then the measure of AOB is

The chord of the larger of two concentric circles is tangent to the smaller circle and has length `k`. The area enclosed between the concentric circles is

In the following figure, O is the centre of the circle. Find the value of x.

A regular decagon (with 10 sides) is inscribed in a circle. The angle that each side of the decagon subtends at the centre is

If the diameter of the inner circle is half that of the outer circle, find the area of the shaded portion.

A telegraph wire spans 20 m with a dip at the centre of 5 cm. Assuming the wire is in the form of a circular arc, its radius is

In the given figure, ABCD is a quadrilateral inscribed in a circle. Diagonals AC and BD are joined. If BAD = 50⁰ and BDC = 45⁰. Find BCD.

The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends on the longer segment of the circle is equal to

The length l of a tangent, drawn from a point A to the circle is of the radius r. The distance from A to the centre of circle is

Two concentric circles are of radii 20 cm and 13 cm respectively. A line PQRS cuts one circle at P and S and the other at Q and R. If QR = 10 cm, then PS is equal to

A circle with radius 4 units is intersected by a line at points R and T. The maximum possible distance between R and T is

In the given circle ABCD, O is the centre and ACB is equal to

Maximum number of common tangents that could be drawn to two given circles is __