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# coordinates

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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.

Oct 18, 2020

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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.

Hello Guest!

$$d^2=(y_B-y_A)^2+(x_B-x_a)^2=(14-5)^2+(7-3)^2$$

$$d^2=97$$

$$A=d^2\cdot \large \frac{\pi}{4}=97\cdot \large \frac{\pi}{4}$$

$$A=24.25\ \pi$$

!

Oct 18, 2020