Find the length of a chord which is at a distance of 2 \(\sqrt{11}\) cm from the centre of a circle of radius 12cm.

In the concentric circles, chord AB of the outer circle cuts the inner circle at C and D as shown in the diagram. Prove that, AB−CD = 2AC

Find the value of x° in the following figures:

Find the value of x° in the following figures:

If PQRS is a cyclic quadrilateral in which ㄥPSR=70° and ㄥQPR = 40°, then find ㄥPRQ.

In the figure given, find the value of x° and y°.

Construct the incentre of ΔABC with AB = 6 cm, ㄥB = 65° and AC = 7 cm. Also draw the incircle and measure its radius.

Construct the centroid of ΔPQR whose sides are PQ = 8cm; QR = 6cm; RP = 7cm