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  4. Three circles has radii as 1,2 and 3 units, centres at A,B and C respectively and touching each other (pair-wise) externally at D , E and F . Then the circumradius of Δ DEF is :

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Q. Three circles has radii as $1,2$ and $3$ units, centres at $A,B$ and $C$ respectively and touching each other (pair-wise) externally at $D$ , $E$ and $F$ . Then the circumradius of $\Delta DEF$ is :

NTA AbhyasNTA Abhyas 2022

Solution:

$\Delta ABC$ is a right angled triangle with area $=6$
Unit and semi perimeter $=6 \, units$
$=$ in radius of $\Delta ABC=1 \, unit$