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2 years ago

If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be

Mathematics

1 answer:

miskamm [114]2 years ago

6 0

The equation of the circle would be (x - 1)² + (y - 3)² = 65.

<h3>What is the equation of a circle?</h3>

The equation of a circle with center (h,k) and radius, r in center radius form is given;

(x - h)² + (y - k)² = r²

The coordinates of the center of the circle can be calculated by the formula

((x₁ + x₂)/2, (y₁ + y₂)/2).

The point (x₁,y₁) = (9, 2) and (x₂,y₂) = (-7, 4).

So, ((9 -7)/2, (4 + 2)/2) = (1, 3).

Now, r² = (x₂ - x₁)² + (y₂ - y₁)².

Let (x₁, y₁) = (1, 3) and (x₂, y₂) = (-7, 4).

So, r² = (-7 -1)² + (4 - 3)²

= -8² + 1² = 64 + 1 = 65.

With center (h,k) = (1, 3) and r² = 65, we have

Thus, the equation would be (x - 1)² + (y - 3)² = 65.

Learn more about the equation of circle;

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krok68 [10]

Answer:

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Step-by-step explanation:

We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.

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