The small circles are equal in area and the area of the big circle is 251 cm². If the perimeter of the triangle formed by joining the centres of the circle is 22 cm, what is the area of the triangle (in cm?)?
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Answer:
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 B
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