Login
Home
TOP
Send feedback
Login
Subjects
Maths CBSE Live product
Class 9 (2026-27)
I’m Up and Down, and Round and Round
Construction of the Circle
5.
TBQ - Constuct the circumcircle of the traingle
Question:
3
m.
Draw \(ΔABC\) with \(AB = 5 \ cm\), \(∠A = 100°\), \(AC = 4 \ cm\). Draw the circumcircle of \(ΔABC\). Is the centre inside or outside the triangle?
Construction:
Step -1:
Draw a base line segment \(AB = 5 \ cm\).
Draw a slanting line segment \(AB = 5 \ cm\).
Draw a vertical line segment \(AB = 5 \ cm\).
Step -2:
Using compass, with \(A\) as centre, mark \(∠A = 100°\).
Using protractor, with \(B\) as centre, mark \(∠B = 100°\).
Using protractor, with \(A\) as centre, mark \(∠A = 100°\).
Step - 3:
Using a compass, with \(B\) as centre, draw an arc of radius \(4 \ cm\), such that it intersects the previous arm at \(C\).
Using a compass, with \(B\) as centre, draw an arc of radius \(4 \ cm\), such that it intersects the previous arm at \(O\).
Using a compass, with \(A\) as centre, draw an arc of radius \(4 \ cm\), such that it intersects the previous arm at \(C\).
Step - 4:
Join \(OB\) to form the triangle \(ABC\).
Join \(BC\) to form the triangle \(ABC\).
Join \(AC\) to form the triangle \(ABC\).
Step - 5:
Draw the perpendicular bisectors of \(AB\) and \(BC\) intersecting each other \(O\). Thus,\(O\) is the centroid.
Draw the perpendicular bisectors of \(AC\) and \(BC\) intersecting each other \(O\). Thus,\(O\) is the circumcentre.
Draw the perpendicular bisectors of \(AC\) and \(AB\). intersecting each other at \(O\). Thus,\(O\) is the circumcentre.
Step - 6:
With \(AC\) as radius and \(O\) as centre, draw the circumcircle of the triangle \(ABC\).
With \(5 \ cm\) as radius and \(O\) as centre, draw the circumcircle of the triangle \(ABC\).
With \(OB\) as radius and \(O\) as centre, draw the circumcircle of the triangle \(ABC\).
Thus,
the centre lies inside the triangle
the centre lies outside the triangle
.
Login
or
Fast registration
Previous task
Exit to the topic
Next task
Send feedback
Did you find an error?
Send it to us!
