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Byju's Answer
Standard VII
Mathematics
Area of a Circle
A circle circ...
Question
A circle circumscribes a rectangle with sides
16
c
m
and
12
c
m
. What is the area of the circle?
A
48
π
square cm
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B
50
π
square cm
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C
100
π
square cm
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D
200
π
square cm
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Solution
The correct option is
C
100
π
square cm
REF image
The diagonal of the rectangle is a diameter of the circle.
Now,
by Pythagoras theorem
(
2
r
)
2
=
16
2
+
12
2
=
256
+
144
=
400
=
20
2
∴
r
=
10
c
m
A
r
e
a
=
π
r
2
=
π
×
10
×
10
c
m
2
=
100
π
c
m
2
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