Question

Consider the equation of a circle given by (x+8)² + (y+4)² = 256. What is the diameter of the circle?

Answer 1

The diameter of the circle with the circle equation (x+8)² + (y+4)² = 256 is 32 units

How to determine the diameter?

The equation of the circle is given as:

(x+8)² + (y+4)² = 256

As a general rule, a circle equation is represented as:

(x - a)² + (y - b)² = r²

Where r is the radius.

By comparing both equations, we have:

r² = 256

Take the square roots of both sides

r = 16

Multiply by 2 to get the diameter

d = 32

Hence, the diameter of the circle is 32 units

Read more about circle equations at:

brainly.com/question/1559324

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