The area of triangle formed by joining the centres three congruent externally touching and49,3 cm. then find the radius of circleINTSE Stage-1200(A 7 cmB7 cm(C) 7,3 cm(D) 43 cm About the author Claire
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! Reply
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!