Q2 of 26 Page 86

Construct incircle and circumcircle of an equilateral ΔDSP with side 7.5 cm. Measure the radii of both the circles and find the ratio of radius of circumcircle to the radius of incircle.

Steps of Construction:


1.Construct ΔDSP of given dimensions.



2.Draw perpendicular bisectors of two sides, DS and SP.


3.Denote the point of intersection as O.



4.Draw a circle with O as center and OD as radius.



As we know that for an equilateral triangle, the incenter is same as the circumcenter.


5.Taking O as center, and the OM as the radius draw a circle.



Circumradius = OP = 4.3cm


Inradius = OM = 2.1cm


For an equilateral triangle, Circumradius = 2×Inradius.


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