Question

Find the Diameter of the Circle with the following equation. Round to the nearest tenth.

(x – 2)2 + (y + 6)2 = 20

1. haidang
Step-by-step explanation:

11.8 units
Step-by-step explanation:
The circle equation is given as:
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35A circle equation is represented as:
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x – a)^2 + (y – b)^2 = r^2
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x – a)^2 + (y – b)^2 = r^2Where
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x – a)^2 + (y – b)^2 = r^2WhereDiameter = 2r
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x – a)^2 + (y – b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we have
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x – a)^2 + (y – b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x – a)^2 + (y – b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sides
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x – a)^2 + (y – b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x – a)^2 + (y – b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9Multiply by 2
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x – a)^2 + (y – b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9Multiply by 22r = 11.8
The circle equation is given as:(x – 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x – a)^2 + (y – b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9Multiply by 22r = 11.8Hence, the diameter of the circle is 11.8 units