Suppose
you are given a circle. Give a construction to find its centre.
Text Solution
Verified by Experts
let the points on the circle as described in figure as P, Q & R
join PQ & QR
draw 2 `_|_` CS to the line PQ & CT to the line respectively
S & T are midpoints of PQ & QR
draw a line from point S & T
which is `_|_` to line PQ & QR
inter section point of lines is centre of circle
thus we can get the centre
Topper's Solved these Questions
CIRCLES
NCERT ENGLISH|Exercise EXERCISE 10.2|2 Videos
AREAS OF PARALLELOGRAMS AND TRIANGLES
NCERT ENGLISH|Exercise Solved Examples|4 Videos
CONSTRUCTIONS
NCERT ENGLISH|Exercise EXERCISE 11.2|5 Videos
Similar Questions
Explore conceptually related problems
Suppose you are given a circle. Describe a method by which you can find the centre of this circle.
Find the radius of the circle (xcosalpha+ysinalpha-a)^2+(xsinalpha-ycosalpha-b)^2=k^2,ifalpha varies, the locus of its centre is again a circle. Also, find its centre and radius.
Construct an angle of 90^(@) at the initial point of a given ray and justify the construction. Draw its angle bisector.
The line 5x - y = 3 is a tangent to a circle at the point (2, 7) and its centre is on theline x + 2y = 19 . Find the equation of the circle.
In the given circle. Arc APB and are BQC are in the ratio 2: 5 and O is centre of the circle. If angle AOB = 44^(@) : Find angle AOC.
Suppose you are running fast in a field when you suddenly find a snake in front of you. You stip quickly. Which force is responsible for your deceleration?
Construct a circle with centre O and radius 4 cm.
Draw a circle of radius 3.5 cm . Take a point P outside the circle at a distance of 7 cm from the centre of the circle and construct a pair of tangents to the circle from the point.
Draw a circle of radius 3.5 cm. Take a point P outside the circle at a distance of 7 cm from the centre of the circle and construct a pair of tangents to the circle from the point.
Construct a tangent to a circle of radius 4cm from a point which is at a distance of 6 cm from its centre.