turkey-yks 2019 Q37

turkey-yks · Other · yks-ayt Circles Circle Equation Derivation

In the rectangular coordinate plane, a circle divided into two equal parts by the line $x + y = 4$ intersects the x-axis at a single point and the y-axis at two different points. Given that the distance between the points where the circle intersects the y-axis is 4 units, what is the circumference of the circle in units?
A) $4 \pi$
B) $5 \pi$
C) $6 \pi$
D) $7 \pi$
E) $8 \pi$

In the rectangular coordinate plane, a circle divided into two equal parts by the line $x + y = 4$ intersects the x-axis at a single point and the y-axis at two different points.\\
Given that the distance between the points where the circle intersects the y-axis is 4 units, what is the circumference of the circle in units?\\
A) $4 \pi$\\
B) $5 \pi$\\
C) $6 \pi$\\
D) $7 \pi$\\
E) $8 \pi$

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