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yKpoI14uk [10]
3 years ago
12

paris run 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 mile. About how far does paris

run?
Mathematics
1 answer:
fiasKO [112]3 years ago
7 0

Answer:

5.497787144 miles

Step-by-step explanation:

Remember that circumference of a circle can be calculated with:

2\pi r

r=radius

We also know that the radius is just a half of the diameter.

So, the radius of the track is (1/2)/2=1/4 miles

Now, use the circumference of a circle formula to find how much she runs in 1 lap.

2\pi (\frac{1}{4} )

Simplify

\frac{\pi }{2}

This is how much she runs in 1 lap.

Multiply by 3.5 for 3 and a half laps.

\frac{\pi }{2}*3.5

The answer is around 5.497787144 miles.


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20 meters north.

Step-by-step explanation:

(I did it on a paper not to lose track.) First we go 25 north. Then ten east. Five south. And 10 west again. So in East/West we didn't move but we moved 5 down/south so we are still at twenty. If you don't understand still draw it on a paper.

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To solve this exercise you need to use the following formula to find the Arc lenght:

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In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

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