# Circle described

The radius of the circle described to the right triangle with 6 cm long leg is 5 cm. Calculate the circumference of this triangle.

Correct result:

o =  24 cm

#### Solution:

$a=6 \ \text{cm} \ \\ R=5 \ \text{cm} \ \\ c=2 \cdot \ R=2 \cdot \ 5=10 \ \text{cm} \ \\ \ \\ b=\sqrt{ c^2-a^2 }=\sqrt{ 10^2-6^2 }=8 \ \text{cm} \ \\ \ \\ o=a+b+c=6+8+10=24 \ \text{cm}$

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