Segment of a Circle

Find the differnce of the areas of two segments of a circle formed by a chord of length 5cm subtending an angle of 90^(@) at the centre.

Seg RM and seg RN are tangent segments of a circle with centre O. Prove that seg OR bisects /_MRN as well as /_MON .

Seg RM and seg RN are tangents segments of a circle with centre O. Prove that seg OR bisects angle MRN as well as angle MON .

Consider the following statements : 1. The number of circles that can be drawn through three non-collinear points is infinity. 2. Angle formed in minor segment of a circle is acute. Which of the above statements is/are correct?

Theorem:-5(i) The degree measure of an arc or angle subtended by an arc at the centre is double the angle subtended by it at any point of alternate segment.(ii) Angle in the same segment of a circle are equal (iii) The angle in the semi circle is right angle.

Find the area of both the segments of a circle of raidus 42 cm with central angle 120^(@) . [Given sin 120^(@)=(sqrt(3))/2 and sqrt(3)=1.73 ]

The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends in the major segment of the circle is equal to :

In Fig. 2.47, O is the centre of the circle. Shade the smaller segment of the circle formed by CP.

In a circle of radius 14 cm, an arc subtends an angle of 120^(@) at the centre. If sqrt(3)=1.73 then the area of the segment of the circle is