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xenn [34]
3 years ago
5

The right triangle above with legs 7m and 3 m is inscribed in a circle. Find the circumference of the circle.

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Answer:

23.9 m

Step-by-step explanation:

The hypotenuse of a right triangle inscribed in a circle is a diameter of the circle.  Using Pythagorean theorem:

c² = a² + b²

c² = 3² + 7²

c = √58

The circumference of the circle is pi times the diameter.

C = π√58

C ≈ 23.9

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