In the adjoining figure,seg QR is a chord of the circle with centre O. P is the midpoint of the chord QR. If QR=24, OP=10, find radius of the circle. To find solutions of the problem , write the theorems that are useful , Using them, solve the problem.

In the adjoining figure,line l touches the circle at P.O is the centre.Q is the mid point of radius OP.Chord RS||line l RS=12,find radius of the circle.

In the adjoining figure, seg MN is a chord of a circle with centre O . l(MN) = 25 . Point L on chord MN such that l(MN)=9 and l(OL)= 5, then find radius of the circle.

In the figure, seg MN is a chord of a circle with centre O. MN = 15, L is a point on chord MN such that ML = 9 and d( O, L ) = 5. Find the radius of the circle.

In the adjoining figure, seg AB is a chord of a circle with centre P. If PA=8cm and distance of the chord of from the centre P is 4cm. Find the area of the shaded portion.

In the figure , seg AB is the chord of the circle with centre O. if AM =4 cm then find MB and AB. State your reason.

In the adjoining figure ,seg DE is a chord of a circle with centre C. seg CF bot seg DE. If diameter of the circle is 20cm, DE=16cm , find CF . Recall and write theorems and properties which are useful to find the solution of the above problem. Using them solve the above problems.

In the figure RQ is a tangent to the circle with centre O. If SQ=6cm , QR=4cm , find OR.

In the figure RQ is a tangent to the circle with centre O. If SQ=6cm, QR=4cm, find OR.

In the adjoining figure ,seg DE is a chord of a circle with centre C. seg CF bot seg DE. If diameter of the circle is 20cm, DE=16cm, find CF. Recall and write theorems and properties which are useful to find the solution of the above problem. Using them solve the above problems.

QR is a chord of the circle with centre at O and POR is a diamter of it. OD is perpendicular to QR. If OD= 4 cm , then the length of PQ is