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o-na [289]
2 years ago
5

A circle's diameter has endpoints at

Mathematics
1 answer:
Arisa [49]2 years ago
8 0

Part (a)

We'll use the distance formula.

(x_1,y_1) = (-4,-7) \text{ and } (x_2, y_2) = (5,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-5)^2 + (-7-(-2))^2}\\\\d = \sqrt{(-4-5)^2 + (-7+2)^2}\\\\d = \sqrt{(-9)^2 + (-5)^2}\\\\d = \sqrt{81 + 25}\\\\d = \sqrt{106}\\\\d \approx 10.2956\\\\

The diameter is exactly \sqrt{106} units long which approximates to roughly 10.2956 units. Round that decimal value however your teacher instructs.

========================================================

Part (b)

We divide the diameter in half to get the radius.

Therefore, the radius is exactly \frac{\sqrt{106}}{2} units long which is approximately 5.1478 units.

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