SOLUTION: A circle has radius of 5cm. What us the length of the arc described ( or outlined) by an angke of 5 pie/3 radians? 9 gives the answer as a simple decimal number to 2 dec. places)

Question 390645: A circle has radius of 5cm. What us the length of the arc described ( or outlined) by an angke of 5 pie/3 radians? 9 gives the answer as a simple decimal number to 2 dec. places)
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Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A circle has radius of 5cm.
What us the length of the arc described ( or outlined) by an angle of 5 pie/3 radians? 9 gives the answer as a simple decimal number to 2 dec. places)
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arc length = radius*theta where theta is measured in radians.
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Your Problem:
arc length = 5 cm = (25/3)pi cm = 26.18 cm
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Cheers,
Stan H.
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

A circle with radius 5 cm. has a circumference

Since as a fraction of a whole circle is of a circle.

So if the arc length of the whole circle is , the arc length of the arc that subtends an angle of must be of the whole circle:

Which is the exact answer. If you want to put that into your calculator and round the result to a two decimal place approximation, be my guest.

By the way: "pie" is a dessert item, usually with a flaky crust, and frequently with a fruit filling. "pi" is the English language representation of the Greek alphabetic character representing the ratio of a circle's circumference to its diameter.

John

My calculator said it, I believe it, that settles it

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