Areas related to Circles ncert solutions Chapter 12 Exercise 12.3 Question 4
4. Find the area of the shaded region, where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as center.
Solution
Area of shaded portion = Area of given equilateral triangle OAB+area of sector of circle (1)
Area of equilateral triangle OAB =
=
(2)
{Area of any equilateral triangle is equal to
}
{Because
is an equilateral triangle}
Therefore, Reflex
Area of sector of circle
(3)
Putting (2) and (3) in (1), we get
Area of Shaded portion
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