Find the point on the Unit Circle associated with the angle `(5pi)/3`

Radius of a circle is 10 cm. Measure of an are fo the circle is 54^@ . Find the area of the sector associated with the arc. ( pi=3.14 )

The measure of central angle of a circle is 60^(@) and the radius of circle is 21 cm. Find the area of the sector associated withh the central angle.

Find the radius of the circle in which the central angle of 15^(@) intercepts an arc of length (5pi)/(12) cm.

Find the equation of the circle in which the chord joining the points (a,b) and (b,-a) subtends an angle of 45^(@) at any point on the circumference of the circle.

The circumference of a circle circumscribing an equilateral triangle is 24 pi units.Find the area of the circle inscribed in the equilateral triangle.

Find the equation of the circle passing through the points A(4,3).B(2,5) and touching the axis of y.Also find the point P on the y-axis such that the angle APB has largest magnitude.

Surface subtends a solid angle of pi on a point charge +q. Electric flux due to point charge, associated with the given surface, is

The end points of a diameter of a circle are (1,-1) and (3,5). Find the equation of the circle. Also find its centre and radius.