Mathematics
Using ruler and compasses only, draw an equilateral triangle of side 4.5 cm and draw its circumscribed circle. Measure the radius of the circle.
Constructions
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Answer
Steps of Construction :
Draw a line segment BC = 4.5 cm.
With centers B and C, draw two arcs of radius 4.5 cm which intersect each other at A.
Join AC and AB.
Draw perpendicular bisectors of AC and BC intersecting each other at O.
With center O, and radius OA or OB or OC draw a circle which pass through A, B and C. Measure OC.
On measuring, OC = 2.6 cm.
Hence, above is the required circumcircle with radius = 2.6 cm.
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