Question

Circumscribe a regular pentagon about a circle of radius 3 cm. 

Answer 1

Steps of construction: 

(i) Draw a drde with centre O and radius= 3 cm. 

(ii) Draw radii OA and OB sudi that LAOB = (360/5) = 72° 

(iii) Cut off arcs BC, CD, DE and AE equal to AB. 

(iv) Draw tangents to the circle at A, B, C, D and E. 

(v) Let these tangents intersect at P, Q, R, Sand T. 

PQRST is the required regular pentagon.