Areas related to Circles ncert solutions Chapter 12 Exercise 12.2 Question 6
6. A chord of a circle of radius 15 cm subtends an angle of
at the center. Find the areas of the corresponding minor and major segments. (Use
and
)
Solution:
Area of minor segment ADB = Area of portion shaded in light blue color
= Area of minor sector – Area of
– Area of
(1)
In
AO=OB {Radii of circle}
{Angles opposite to equal sides are equal}
Also, we have
{Angle sum property of triangle}
Therefore, we have
which means that
is an equilateral triangle.
Area of equilateral triangle =
(2)
Putting equation (2) in equation (1), we get
Area of minor segment ADB
Area of major segment = Area of circle – area of minor segment ADB
Rijo says
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