Question

Which equation represents the general form of a circle with a center at (-2,-3) and a diameter of 8 units

Answer 1

fo a circle with radius, r and center (h,k)
te equation is
(x-h)²+(y-k)²=r²
d/2=r
8/2=4=r
center is (-2,-3)

(x-(-2))²+(y-(-3))²=4²
(x+2)²+(y+3)²=16

Answer 2

Equation of circle is (x + 2) ²+ ( y + 3)² = 4².

Explanation:

Given : a circle with a center at (-2,-3) and a diameter of 8 units.

To find : Which equation represents the general form of a circle .

Solution : We have given center at (-2,-3) and a diameter of 8 units.

Radius =
`(Diameter)/(2)`.

Radius =
`(8)/(2)`.

Radius = 4 units.

Standard form of circle is (x -h) ²+ ( y -k)² = r².

Where, ( h, k) is center , r = radius .

Plug center ( -2 ,-3) and r = 4 .

(x - (-2)) ²+ ( y - (-3))² = 4².

(x + 2) ²+ ( y + 3)² = 4².

Therefore, Equation of circle is (x + 2) ²+ ( y + 3)² = 4².