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Three equal circles, each of radius 6 cm...

Three equal circles, each of radius 6 cm, touch one another as shown in the figure. Find the area enclosed between them.
[Take `pi=3.14` and `sqrt(3)=1.732`]

Text Solution

Verified by Experts

The correct Answer is:
`5.76cm^(2)`
Let A,B,C be the centres of these circles.
Join AB,BC and CA.

Required area `=` (area of the `Delta` ABC with each side `a=12` cm)
`-3`(area of a sector with `r=6cm, theta=60^(@)`)
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