Mensuration(Class X)

A circle is inscribed in a regular hexagon of side 2√3cm.Find (i) circumference of the inscribed circle.
(ii)area of the inscribed circle.

2 Answers

1357

Manish Shankar ·2009-08-12 00:31:33

.
OAB is equilateral triangle.

AB is given, find OL which is the radius of the circle

OL = √OB ² - BL²
= √(2√3)² - √(3)²
=√12-3
= 3 cm

circumference = (6 * pai) cm
Area = (9 * pai) cm²

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