Construct a circle, inscribing an equilateral triangle with side 5.6 cm.
Construct a circle, inscribing an equilateral triangle with side 5.6 cm.

Steps for Construction:

i) Draw a line segment BC = 5.6 cm

ii) With centres B and C, draw two arcs of 5.6 cm radius each which intersect each other at A.

iii) And, join AB and AC.

iv) Draw angle bisectors of ∠B and ∠C which intersect each other at O.

v) From O, draw OL ⊥ BC.

vi) Now with centre O and radius OL, draw a circle which will touch the sides of ΔABC.

Selina Solutions Concise Class 10 Maths Chapter 19 ex. 19 - 14

Thus, this is the required circle.