asked 187k views
3 votes
The right triangle above with legs 7m and 3 m is inscribed in a circle. Find the circumference of the circle.

*Round to the nearest te​

asked
User Aneri
by
7.8k points

1 Answer

3 votes

Answer:

23.9 m

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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