Worksheet: Circles

True and False

Q1: If two arc of a circle are congruent. Then corresponding chord are unequal.

Q2:  Two perpendicular bisector of chord intersect at center of circle.

Q3: The line joining the mid-point of a chord to centre perpendicular to chord.

Q4: It is possible to draw two circles from three non-collinear points.

Answer the following Questions

 Q1: If O is the center of circle of radius 5 cm OP perpendicular to AB and OQ perpendicular to CD, AB||CD, AB = 6cm and CD = 8 cm. Determine PQ.

Q2: AB and CD are the two chord of the circle such that AB = 6 cm , CD = 12 cm and AB||CD, if the distance between AB and CD is 3 cm, find the radius of the circle.

Q3: Prove that the line joining to the centre of circle to the mid-point of a chord, is perpendicular to the chord.

Q4: Given an arc of circle how you will find its centre and complete the circle.

Q5: Two equal chord AB and CD of circle with center O, when produced meet at a point E, prove that BE=DE and AE=CE

Q6: Two equal circles intersect in P and Q. A straight line through P meets the circles in A and B. Prove that QA=QB.

The solutions of the worksheet "Worksheet Solutions: Circles"