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A circle with a center at (-1, 2) and passes through point (2,-2).
Which statement is true?
The equation is (x + 1)^2 + (y-2)^2 =10
The radius is the square root of 5
The circumference is 25 pi
The diameter is 10

Respuesta :

Answer:

diameter=10,D

Step-by-step explanation:

distance between centre and a point on the circumference

=radius of circle

=r

r=√((2+1)²+(-2-2)²)=√(9+16)=√25=5

diameter=2r=2×5=10

so eq of circle is

(x+1)²+(y-2)²=5²

circumference=2πr=2×π×5=10π