The area of triangle formed by joining the centres three congruent externally touching and
49,3 cm. then find the radius of circle
INTSE Stage-1200
(A 7 cm
B7 cm
(C) 7,3 cm
(D) 43 cm
The area of triangle formed by joining the centres three congruent externally touching and
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Answer:
a) 7 cm
Step-by-step explanation:
Let the radius of each circle be r
The length of side of an equilateral triangle formed by the centers of three congruent externally touching circles is 2r
The area of triangle is
2
1
×2r×2r×sin(60
0
)=
3
r
2
=49
3
⇒r
2
=49
⇒r=7
Therefore the radius of circle is 7cm
So the correct option is A.
hope it’s helpful to you!