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3 years ago

what is the arc length when the central angle measures 60 degrees and the radius is 15 inches giving in terms of 3.14

Mathematics

1 answer:

Katena32 [7]3 years ago

4 0

To solve this problem, we make use of the formula for arc length:

s = r θ

where the variables are,

s = the length of the arc = unknown value

r = radius of the circle = 15 inches

θ = the angle in radians = 60 degrees

Since the given angle is in units of degrees, therefore we need to convert this first into rad:

θ = 60° (π / 180°)

θ = π / 3

Going back to the arc length formula:

s = 15 inches (π / 3)

s = 5 π inches

Answer:

5 π inches

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I hope I have been of assistance to you, have a good day.

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3 years ago

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You can either do this on the calculator, or in your head. As its a larger number, it is worth doing it on the calculator.
413/14= 29.5
The alternative method is to list all of the tens multiples, and the smaller multiples when you're getting close to the answer, and this will be able to help you.
14x10= 140
14x20=280
14x30= 420 (which is slightly too big)
14x29= 406 (slightly too small)
14x29.5= 413

Hope this helps :)

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