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Rom4ik [11]
3 years ago
5

The endpoints of a diameter of a circle are A(3,1) and B(9,9). Find the area of the circle in terms of pie

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

The answer is 25\pi units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

The distance between the x's is 9-3=6.

The distance between the y's is 9-1=8.

The distance between the points is given by \sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10.

The radius is therefore \frac{10}{2}=5.

We are asked to find the area of this circle.

The formula for finding the area of a circle is \pi r^2.

Since the radius is 5, then the area in terms of \pi,(pi), is \pi (5)^2=\pi (25).

The answer is 25\pi units squared.

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<span> <span>1st</span></span><span> formula 2n + 3m = 280
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</span><span>2nd</span></span><span> formula 2n + 5m = 320
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</span><span>rearrange 2nd</span> formula to equal n:</span>

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<span><span>Rearrange to become:
</span> </span><span><span>-3/2m + 5/2m = 160 - 140
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</span><span>
</span>

<span>Now place 20 into the very 1st</span><span><span> equation in place of the letter m
</span> </span><span><span>2n + 3(20) = 280
</span> </span><span><span>2n + 60 = 280
</span> </span><span><span>2n = 220
</span> </span><span>n = 110
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</span>so it costs $110 per night, $20 per meal</span>


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