Question

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

(x – 2)2 + (y + 6)2 = 20

Answers

  1. Answer:
    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

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