A circle is represented by the equation below: (x + 8)2 + (y − 3)2 = 100 Which statement is true? The circle is centered at (−8, 3) and has a radius of 20.

The circle is centered at (8, −3) and has a diameter of 20.

The circle is centered at (8, −3) and has a radius of 20.

The circle is centered at (−8, 3) and has a diameter of 20.

D) The circle is centred at (-8,3) and has a diameter 20

Step-by-step explanation:

Explanation:-

Given that the circle

        ( x + 8)² +( y-3)² = 100

   ⇒ ( x + 8)² +( y-3)² = 10²

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

Centre of the circle (h , k) = (-8 , 3)

Radius of the circle  r = 10

Diameter of the circle 'd' = 2r = 2(10) =20

Final -

The circle is centred at (-8,3) and has a diameter 20

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step-by-step explanation:

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