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The circle shown is centered at the origin and contains the point (-4, -2). What is the length of the diameter of the circle? Round your answer to the nearest hundredth

The circle shown is centered at the origin and contains the point (-4, -2). What is-example-1

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Explanation:

Equation for circle centered at origin:

x² + y² = r².

Therefore r² = (-4)² + (-2)² = 20, r = √20.

Hence d = 2r = 2√20 = 8.94 (2d.p.)

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