## A circle has center (5. –4) and radius 8. Which gives the equation for the circle? A. (x + 5)2 + (y + 4)2 = 8 B. (X – 5)2 + y +

Question

A circle has center (5. –4) and radius 8. Which gives the equation for the circle?
A. (x + 5)2 + (y + 4)2 = 8
B. (X – 5)2 + y + 4)2 = 8
C. (x + 5)2 + (y – 412
D. (x – 5)2 + (y + 4)2

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1 week 2021-09-15T04:57:09+00:00 2 Answers 0

(x-5)^2 + (y+4)^2 =64

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-5)^2 + (y- -4)^2 = 8^2

(x-5)^2 + (y+4)^2 =64

2. the equation for the circle is given by the mathematical expression: Given the following data;

• h = 5
• k = -4

In Mathematics, the general equation for a circle is given by the formula; ……equation 1.

Where the center is C(-h, -k)

Also, the standard form of the equation of a circle is; ……equation 2.

Where;

• h and k represents the coordinates of the center.
• r represents the radius of the circle.

Substituting the values into equation 2, we have; Simplifying further, we have; Therefore, the equation for the circle is given by the mathematical expression: 