Q. 27 D4.2( 5 Votes )

# Let us calculate the area of a circular region circumscribe a triangle of which sides are 3 cm, 4 cm and 5 cm.

Answer :

By the pythagoras theorem,

3^{2} + 4^{2} = 9+16 = 25

And 5^{2} = 25

⇒ The given triangle forms a right angled triangle

∴ BC will act as the diameter of the circumcircle centered at O.

Diameter = 5 cm

⇒ Radius = 2.5 cm

∵ Area of a circle = πr^{2}

⇒ Area of the circumcircle

⇒ Area of circumcircle = 19.64 cm^{2}

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