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A circle is entered on the point (-1,5) and contains the point (7,11). What is the area of this circle?

User Mattis Asp
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1 Answer

5 votes

Answer:

100π units square

Explanation:

The circle is centered on the point (-1,5) and contains the point (7,11).

We can find the radius, using the distance formula,


r=√((x_2-x_1)^2+(y_2-y_1)^2)

We substitute the points to get:


r=√((7- - 1)^2+(11- 5)^2)

This implies that:


r=√((8)^2+(6)^2)


r=√(64+36)


r = √(100)


r = 10 \: units

The area of a circle is given by:


A=\pi \: {r}^(2)

Plug in the radius into the formula to get:


A=\pi * {10}^(2)


A=\pi * 100


A=100\pi

The area is 100π square units or 314 square units

User Misato
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