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What is the circumference of a circle circumscribed around a rectangle with sides 7 cm and 24 cm?

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Answer:

25π cm ≈ 78.54 cm

Explanation:

The diameter of the circumscribing circle is the diagonal of the rectangle.

You may recognize the rectangle dimensions as the numbers in the (7, 24, 25) Pythagorean triple. If not, you can compute the diagonal length from ...

d = √(7²+24²) = √(49+576) = √625 = 25 . . . . centimeters

The circumference of the circle is π times the diameter:

C = πd = 25π cm

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