Let S be a circle with diameter `AD` and radius r; B and C are points on the circumference such that chord `AB=` chord `BC=` `(r)/(2)` then `(4CD)/(r)` is equal

Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, then 2r equals

If a chord AB of a circle subtends an angle theta(nepi//3) at a point C on the circumference such that the triangle ABC has maximum area , then

Write expression for circumference of a circle of radius 'r'

Chords AB and CD of a circle with centre O, intersect at a point E. If OE bisects angle AED, prove that chord AB = chord CD.

The locus of the mid-points of the chords of the circle of lines radiùs r which subtend an angle pi/4 at any point on the circumference of the circle is a concentric circle with radius equal to (a) (r)/(2) (b) (2r)/(3) (c) (r )/(sqrt(2)) (d) (r )/(sqrt(3))

Let P Q and R S be tangent at the extremities of the diameter P R of a circle of radius r . If P S and R Q intersect at a point X on the circumference of the circle, then prove that 2r=sqrt(P Q xx R S) .

Let P Q and R S be tangent at the extremities of the diameter P R of a circle of radius r . If P S and R Q intersect at a point X on the circumference of the circle, then prove that 2r=sqrt(P Q xx R S) .

The longest chord of circle is equal to its (a) radius (b) diameter (c) circumference (d) perimeter

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.

The circles having radii r_1 and r_2 intersect orthogonally. Find the length of their common chord.