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

Answer

  
Steps of Construction:
i) Draw a line segment BC = 5.6 cm
ii) With centers B and C, draw two arcs of 5.6 cm radius each which intersect each other at A.
iii) Join AB and AC.
iv) Draw angle bisectors of ∠B and ∠C intersecting 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. 
This is the required circle.

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