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

Answer


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.

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