Areas related to Circles ncert solutions Chapter 12 Exercise 12.2 Question 7
7. A chord of a circle of radius 12 cm subtends an angle of
at the center. Find the area of the corresponding segment of the circle. (Use
and
)
Solution:
Construction: Draw
Area of segment ACB= Area of minor sector ACBO – Area of
(1)
Area of minor sector ACBO=
(2)
In
and
AO=OB {Radii of circle}
{Each
}
OD = OD (Common side)
Therefore, by RHS congruency axiom,
{Corresponding angles of congruent triangles are equal}
In
cm
Also,
cm
Area of
Area of
cm (3)
Putting equation (2) and (3) in equation (1) , we get
Area of segment ACB
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