Advertisements
Advertisements
Question
Give a method to find the centre of a given circle.
Solution
Steps of construction
(1) Take three point A,B and C on the given circle
(2) Join AB and BC
(3) Draw thee perpendicular bisectors of chord AB and BC which intersect each other at O
(4) Point will be required circle because WKT, perpendicular bisector of chord always passes through center
APPEARS IN
RELATED QUESTIONS
Suppose you are given a circle. Give a construction to find its centre.
If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord.
Fill in the blank:
All points lying inside/outside a circle are called .................. points/ .....................points.
true or false
Line segment joining the centre to any point on the circle is a radius of the circle,
A circular park of radius 40 m is situated in a colony. Three boys Ankur, Amit and Anand are sitting at equal distance on its boundary each having a toy telephone in his hands to talk
to each other.
Prove that any three points on a circle cannot be collinear.
Choose the correct alternative:
If the points, A, B, C are non-collinear points, then how many circles can be drawn which passes through points A, B, and C?
How many circles can be drawn passing through a point?
Through three collinear points a circle can be drawn.
ABCD is such a quadrilateral that A is the centre of the circle passing through B, C and D. Prove that ∠CBD + ∠CDB = `1/2` ∠BAD