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pshichka [43]
3 years ago
15

HELP PLEASE ASAP ASAP MATH

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

Option (1)

Step-by-step explanation:

Standard equation of the circle is,

(x - h)² + (y - k)² = r²

Here, (h, k) is the center of the circle and 'r' is the radius.

From the figure attached,

Radius of the circle = Distance between the points A and B

                                = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

                                = \sqrt{(1-4)^2+(-2+2)^2}

                                = 3

Center of the circle → A(1, -2)

Therefore, equation of the circle will be,

(x - 1)²+ (y + 2)² = 3²

(x - 1)² + (y + 2)² = 9

Option (1) will be the answer.

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<u><em>Solution:</em></u>

The diagram is attached below

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Given in question that AB = 24 inches

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AO = 12

Let "b" be the length of CO

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Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

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AC^2 = AO^2 + OC^2

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