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Find the exact circumference of each circle using the given inscribed or circumscribed polygon.

Find the exact circumference of each circle using the given inscribed or circumscribed-example-1
User PatrikAkerstrand
by
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1 Answer

12 votes
12 votes

Answer:

58π mi.

Explanation:

The diameter of the circle = the hypotenuse of the right triangle ( by the angle subtended by a diameter theorem).

By Pythagoras:

diameter^2 = 40^2 + 42^2

= 3364

Diameter = 58 mi.

Now the circumference

= diameter * π

= 58π mi.

User James Nick Sears
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2.8k points