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3 years ago

If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?

Mathematics

1 answer:

mixer [17]3 years ago

4 0

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

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