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Byju's Answer
Standard X
Mathematics
Two Circles Touching Internally and Externally
Three congrue...
Question
Three congruent circles with centres
A
,
B
and
C
and with radius
5
c
m
each, touch each other in points
D
,
E
,
F
as shown in the figure.
The perimeter of
△
A
B
C
in cm is
A
15cm
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B
60cm
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C
45cm
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D
30cm
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Solution
The correct option is
D
30cm
Radius of each circles is equal
therefore
A
D
=
D
B
=
B
E
=
E
C
=
C
F
=
F
A
Perimeter of a circle is sum of thier three sides
So, Perimeter of triangle
A
B
C
=
A
B
+
B
C
+
C
A
=
A
D
+
D
B
=
B
E
+
E
C
+
C
F
+
F
A
= 6.AD
=
30
c
m
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Similar questions
Q.
Three congruent circles with centres A,B and C and with radius 5 cm, touch each other in points D, E and F as shown in the given figure
(i) What is the perimeter of the
△
ABC?
(ii) What is the length of side DE of
△
DEF