The arc of a circle subtending a right angle at any point of the circle in its alternate segment is a semi-circle.

An arc AB of a circle subtends an angle x radians at the center O of the circle. Given that the area of the sector AOB is equal to the square of the length of the arc AB, find the value of x.

An arc AC of a circle subtends a right angle at then the center O . the point B divides the arc in the ratio 1:2 , If vecOA = a & vecOB = b . then the vector vecOC in terms of a & b , is

A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding : (i) minor segment (ii) major sector.

A chord of a circle of radius 14 cm makes a right angle at the centre. Find the areas of the minor and major segments of the circle.

A chord of a circle of radius 10cm subtends a right angle at the centre. The length of the chord (in cm) is

A piece of wire 20 cm long is bent into the form of an arc of a circle, subtending an angle of 60^(@) at its centre. Find the radius of the circle.

Fill in the blanks: (i) The diameter of a circle is … times its radius (ii) The diameter of a circle is the … chord of the circle. (iii) The diameter of a circle pass through…. (iv) A chord of a circle is a line segment with its end points on the … (v) If we join any two points on a circle by a line segment, we obtain… (vi) A radius of a circle is a line segment with one end at …. and the other end at…. (vii) All radii of a circle are… (viii) The diameters of circle are… (ix) The total number of diameters of circle is… (x) Every point on a circle is…from its centre.. (xi) A chord of a circle contains exactly….points of the circle.. (xii) A diameter is the longest… (xiii) Concentric circles are circle having….

A chord of a circle is a line segment with its end points....

If the length of an arc of a circle of radius r is equal to that of an arc of a circle of radius 2r, then the angle of the corresponding of the other circle. Is this statement false ? Why ?

The figure shows a rectangle ABCD with a semi-circle and a circle inscribed inside it as shown. What is the ratio of the area of the circle to that of the semi-circle ?