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Mensuration Practice Test 7
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© examsnet.com
Question : 6
Total: 40
The length of the diagonal of a square is 8 cm. A circle has been drawn circumscribing the square. The area of the portion between the circle and the square (in sq. cm) is:
16
2
7
18
2
7
10
2
7
12
2
7
Validate
Solution:
Area of circle =
π
r
2
22
7
×
4
×
4
=
352
7
c
m
2
Side of square
P = 4a =
2
d
√
2
d = 8
4a = 2.8
√
2
a =
16
√
2
4
a =
4
√
2
cm.
Area of square =
a
2
=
(
4
√
2
)
2
=
32
c
m
2
Area of portions between the square and the circle
352
7
−
32
=
352
−
224
7
=
128
7
=
18
2
7
c
m
2
© examsnet.com
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