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enot [183]
3 years ago
8

The endpoints of a diameter of a circle are (4,-2) and (3,6). Find the area of the circle in terms of pi

Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0
The endpoints of a diameter of a circle are (4,-2) and (3,6). The area of the circle in terms of pi is 65pi
First, is to get the length of the diameter by getting the distance of the two points: (4, -2) and (3, 6)

dis = sqrt( (x2-x1)^2 + (y2-y1)^2)
dis = sqrt( (3-4)^2 + (6--2)^2 )
dis = sqrt( 1 + 64 )
dis = sqrt(65)

Next, is to find the area of the circle:
A = pi * r^2
A = pi * (sqrt(65))^2
A = 204.20 square units

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Answer:

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Step-by-step explanation:

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Think of this in terms of how many "units" can the total paper be cut into. Easiest way to keep track of units is by their area. In other words, take the total area and see how many unit areas fit into it:

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Therefore the greatest number of pieces the paper can be cut into is 25 units (the 0.5 doesn't count since it's not a full pieces).

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Again, back to units. This time the "total" is 100, and our unit size is 25.5. So:

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N = 3.9

Therefore 4 sheets of wrapping paper will be needed (you need to round the 3.9 up because wrapping paper sheets only come in whole numbers for the purposes of this question).

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Answer:

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