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Katena32 [7]
3 years ago
10

Write the standard form of the equation of a circle with a radius of 2 and center at (4,-5)

Mathematics
2 answers:
Veronika [31]3 years ago
7 0

center-radius form of the circle  (x – h)^2 + (y – k^)2 = r^2

(x-4)^2 + (y--5)^2 = 2^2

(x-4)^2 +(y+5)^2 = 4

yaroslaw [1]3 years ago
6 0

<u>Answer:</u>

(x-4)^2+(y+5)^2=4

<u>Step-by-step explanation:</u>

We are given a circle with a radius of 2 with a center at the point (4, -5).

Assuming x and y to be the coordinates of any point on the circle, we can find the equation of the circle by using the following distance formula:

r=\sqrt{(x_1-x)^2+(y_1-y)^2}

Putting the given values to get:

2=\sqrt{(x-4)^2+(y+5)^2}

Taking square on both sides to get:

4=(x-4)^2+(y+5)^2

Therefore, the equation of the given circle with radius 2 and center at (4, -5) is (x-4)^2+(y+5)^2=4.

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