Question

. In the given figure, a circle is inscribed in an
equilateral triangle ABC of side 12 cm. Find the
radius of inscribed circle and the area of the
shaded region. [Use V3 =1.73 and r = 3.14.]
(CBSE 2014]​

Answer 1

Step-by-step explanation:

by the relation for inscribed cricle

r.s=area of triangle

area of triangle =

$\sqrt{3 } \div 4 \times {12}^{2}$

and s=18

r=

$\sqrt{3}$

now area is equal to

$3\pi$