Question

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.

Answer 1

Step-by-step explanation:

Incircle and circumcircle of the question

Answer 2

Answer:

Radius of circumcircle is doucle to radius of incircle

Step-by-step explanation:

Step 1 : Draw DS = 7.5 cm using ruler

Step 2 : using compass draw an arc of radius 7.5cm from point D

Step 3 : using compass draw an arc of radius 7.5cm from point S  such that it intersect 1st arc at point P

Step 4 : join P with D & S

ΔDSP is constructed

Step 5 : draw angle of 30 deg at D  & S

Step 6 : locate their intersection point as Center

Step 6 : Draw perpendicular bisector of of DS and locate point it intersect at DS

Step 7 : Using Compass draw Circle with radius upto the point intersected at D and incircle is ready

Step 8 : Using same center Draw Circles taking radius upto any vertices of Triangle and draw circle

circumcircle is constructed

Radius of circumcircle is doucle to radius of incircle