Given a circle with centre O and radius 2.5 cm, what is the length of the longest chord of the circle?

If the length of a chord of a circle at a distance of 24 cm from the centre of a circle is 36 cm, find the length of the greatest chord of the circle.

Answer the following questions: Draw a semicricle with centre O and radius 2 cm. Is the diameter that determines the semicircle, a part of semi circle? Give reasons.

Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

Draw a circle of radius 3 cm and mark the following on it- (a) Longest chord of the circle. (b) Region enclosed between arc and two radii (c) Length of the boundary of circle (d) Half of the longest chord (e) Region enclosed between arc and chord.

In Fig. 12.30 ,OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the (i) quadrant OACB, (ii) shaded region.