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Question
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.
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Solution
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 centre O and radius OA or OB or OC draw a circle which will pass through A, B and C.
This is the required circumcircle of triangle ABC.
On measuring the radius OA = 2.6 cm.
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