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Find the area of the circle passing through the points
(-8,0), (0,8),12,0)

User MatFiz
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Answer:

Explanation:

To find the area of the circle passing through the points (-8,0), (0,8), and (12,0), we can first find the center and radius of the circle using the following steps:

Find the midpoint of the line segment connecting any two of the given points to get the center of the circle.

Midpoint of (0,8) and (12,0):

x-coordinate: (0 + 12)/2 = 6

y-coordinate: (8 + 0)/2 = 4

Center: (6, 4)

Find the distance between the center of the circle and any one of the given points to get the radius of the circle.

Distance between (6,4) and (-8,0):

sqrt((6 - (-8))^2 + (4 - 0)^2) = sqrt(196 + 16) = sqrt(212)

Radius: sqrt(212)

Now that we have the center and radius of the circle, we can find the area of the circle using the formula:

Area = pi * radius^2

Area = pi * (sqrt(212))^2

Area = pi * 212

Area = 665.36 (approx)

Therefore, the area of the circle passing through the points (-8,0), (0,8), and (12,0) is approximately 665.36 square units.

User RameshVel
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