Points A(3,5) and B(7,14) are the endpoints of a diameter of a circle graphed in a coordinate plane. How many square units are in the area of the circle? Express your answer in terms of pi.
Points A(3,5) and B(7,14) are the endpoints of a diameter of a circle graphed in a coordinate plane. How many square units are in the area of the circle? Express your answer in terms of pi.
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\(d^2=(y_B-y_A)^2+(x_B-x_a)^2=(14-5)^2+(7-3)^2 \)
\(d^2=97\)
\(A=d^2\cdot \large \frac{\pi}{4}=97\cdot \large \frac{\pi}{4}\)
\(A=24.25\ \pi\)
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