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Rajan draw a triangle with sides 8 cm, 15 cm and 17 cm. What is the approximate area of the circumcircle of the given triangle?

  1. 220 cm2
  2. 22.8 cm2
  3. 22.2 cm2
  4. 227 cm2

Answer (Detailed Solution Below)

Option 4 : 227 cm2
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Detailed Solution

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Given∶

A right angle triangle with sides 8cm, 15 cm and 17 cm. 

Formula Used∶

Basic of right angled triangle and circumcircle.

Calculation∶

The given triangle is right angled triangle as the sides 8 cm, 15 cm and 17 cm are making Pythagoras triplet.

Here, the hypotenuse is 17 cm.

In a right angled triangle the length of the circumradius is half the length of the hypotenuse.

So, circumradius, r = 17/2 = 8.5 cm 

Area of the circumcircle = π r2

Area = 3.14 × (8.5)2 = 226.865 cm2

∴ The area of the circumcircle is 227 cm2.

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