SOLUTION: draw the outer circle of raius 3cm.then draw six identical smaller circles touches it neighbours and the outer circle?what is the radius of the circle that will fit in the central

Question 320470: draw the outer circle of raius 3cm.then draw six identical smaller circles touches it neighbours and the outer circle?what is the radius of the circle that will fit in the central hole?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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I think this is what you mean.
The inner circle has a radius, .
The outer 6 circles have a radius of and occur every 60 degrees.
Only two of them are shown here.
The green right triangle formed by the circles has a hypotenuse of,

The green opposite leg of the triangle is .
The angle opposite the green leg is .
From trigonometry,

You also know that,

cm
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