coordinates

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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