A point `P` is given on the circumference of a circle of radius `rdot` Chords QR are parallel to the tangent at `Pdot` Determine the maximum possible area of triangle PQR.

From a fixed point A on the circumference of a circle of radius r, the perpendicular AY falls on the tangent at P. Find the maximum area of triangle APY.

P, Q, R and S are the points on the circumference of a circle of radius r, such that PQR is an equilateral triangle and PS is a diameter of circle. What is the perimeter of the quadrilateral PQSR?

P,Q,S and R are points on the circumference of a circle of radius r ,such that POR is an equilateral triangle and PS is a diameter of the circle.What is the perimeter of the quadrilateral PQSR?

If a chord of a circle of radius 'r' subtends a right angle at the centre of the circle, then determine the area of the corresponding segment ?

The radius of a circle is 5 m .Find the circumference of the circle whose area is 49 times the area of the given circle.

A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle,Prove that R bisects the arc PRQ.

A point P is 13 xm from the centre of a circle . Radius of the circle is 5 cm . A tangent is drawn from point P to the circle , then the length of the tangent is :

A circle of radius 320 is tangent to the inside of the circle of radius 1000. The Smaller circle is tangent to the diameter of the larger circle at point P Maximum distance of point P from the circumference of the larger circle is lamda Then [lamda/250] (where [] represents is(where [.] represents greatest integer function).

Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR ?