Question

Construct incircle and circumcircle of an equilateral ADSP 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.

Answer 1

Steps of construction: 

i. Construct ∆DPS of the given measurement. 

ii. Draw the perpendicular bisectors of side DP and side PS of the triangle. 

iii. Name the point of intersection of the perpendicular bisectors as point C. 

iv. With C as centre and CM as radius, draw a circle which touches all the three sides of the triangle.

 v. With C as centre and CP as radius, draw a circle which passes through the three vertices of the triangle. 

Radius of incircle = 2.2 cm and Radius of circumcircle = 4.4 cm