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. - Noon Academy

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.

Class 10 | Constructions (Circles) | Exercise 19A | ICSE | Selina

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.

Steps for construction:

i) Draw a line segment BC = 4.5 cm

ii) With centres B and C, draw two arcs of radius 4.5 cm which intersect each other at A.

iii) And join AC and AB.

iv) Draw the perpendicular bisectors of AC and BC which intersect each other at O.

v) With centre O, and radius OA or OB or OC draw a circle which will pass through A, B and C.

Then, this is the required circumcircle of triangle ABC.

Therefore, the radius, we get OA = 2.6 cm

Selina Solutions Concise Class 10 Maths Chapter 19 ex. 19 - 5

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