Question

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.

Answer 1

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

Explanation:

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Answer 2

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

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 answer:-

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