A point is selected at random from inside a circle. The probability that the point is closer to the circumference of the circle than to its centre, is

The circumference of a circle is 44 cm. Find its area.

The locus of points inside a circle and equidistant from two fixed points on the circumference of the circle.

Three points P, Q and R are selected at random from the cirumference of a circle. Find the probability p that the point lie on a semi-circle

If the circumference of a circle is 110 cm , find its radius .

A point charge q is held at the centre of a circle of radius r. B,C are two points on the circumference of the circle and A is a point outsdie the circle . If W_("AB") charge q_(e ) from A to B and W_("AC") represents the workdone from A to C ,then

Out of two unequal chords of a circle, the bigger chord is closer to the centre of the circle. Prove it.

In the figure above, point P is the center of each circle. The circumference of the larger circle exceeds the circumference of the smaller circle by 12pi . What is the width, w, of the region between the two circles?

An ellipse of eccentricity (2sqrt2)/3 is inscribed in a circle and a point within the circle is chosen at random. Let the probability that this point lies outside the ellipse be p. Then the value of 105 p is

If two points are taken at random on the circumference of circle, the chance that their distance apart is greater than the radius of the circle is

Show that the points (-3, 2), (2, -3) and (1, 2 sqrt(3) ) lie on the circumference of that circle, whose centre is origin.