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Standard X
Mathematics
NCERT
Question
In Fig.,
O
A
C
B
is a quadrant of a circle with centre
O
and radius
3.5
c
m
. If
O
D
=
2
c
m
, find the area of the
(i) quadrant
O
A
C
B
, (ii) Shaded region
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Solution
Verified by Toppr
(i)
Area of quadrant
O
A
C
B
=
Area of Circle
4
=
π
×
r
2
4
=
1
4
×
22
7
×
3.5
×
3.5
=
9.625
c
m
2
(ii)
Area of the shaded region
=
Area of Quadrant
−
Area of
△
B
D
O
=
9.625
−
(
1
2
×
3.5
×
2
)
=
6.125
c
m
2
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Similar Questions
Q1
In Fig.,
O
A
C
B
is a quadrant of a circle with centre
O
and radius
3.5
c
m
. If
O
D
=
2
c
m
, find the area of the
(i) quadrant
O
A
C
B
, (ii) Shaded region
View Solution
Q2
OACB is a quadrant of a circle with centre O and its radius is 3.5 cm. If OD = 2 cm. find the area of (i) quadrant OACB (ii) the shaded region.