Math  /  Geometry

Questionthe line 4x+3y=54 x+3 y=5 is tanjent to the center of a circle 0(2,3)0(-2,3). What is the radias of thi's circle?

Studdy Solution
Calculate the distance:
d=8+9516+9 d = \frac{|-8 + 9 - 5|}{\sqrt{16 + 9}} =425 = \frac{|-4|}{\sqrt{25}} =45 = \frac{4}{5}
The radius of the circle is:
45 \boxed{\frac{4}{5}}

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