Question

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​

Answer 1

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!