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aliya0001 [1]
3 years ago
6

1) (9,- 4) and (1,8) are thecoordinates of the endpoints of a diameter of a circle. Write the

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

(x-5)²+(y-2)²=52

Step-by-step explanation:

first find the midpoint (center of the circle)

(9+1)/2, (-4+8)/2

(5, 2) = center

then distance formula to find diameter

√(9-1)²+(-4-8)²=√64+144 = √208 = 2√52

The radius is half the diameter = √52

Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center

Now you can plug everything in.

(x-5)²+(y-2)²=52

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