Question

The area of the circle centered at (1, 2) and Passing through the point(4, 6) is

Answer 1

Answer:

25pi or 25×3.14

Step-by-step explanation:

find distance between center and point by

$\sqrt{(1 - 4) {}^{2} } + (2 - 6) {}^{2}$

which is = 5.Hence radius is 5 and area is pi×5²

Answer 2

Area of the circle  = $78.5\text{ unit}^2$

Explanation:

Given : The circle centered at (1, 2) and passing through the point (4, 6) .

Radius of the circle = Distance between (1, 2) and (4, 6) .

$=\sqrt{(6-2)^2+(4-1)^2}=\sqrt{(4)^2+(3)^2}=\sqrt{16+9}=\sqrt{25}=5\text{ units}$.

Area of circle = $\pi r^2$ , where r= radius of the circle.

Now , Area of the circle with radius 5 units = $3.14\times5^2=78.5\text{ unit}^2$

Thus , Area of the circle  = $78.5\text{ unit}^2$

# Learn more :

The base of an isosceles isosceles triangle is half that two equal sides the perimeter of triangle is 30 cm what is length of each side of the triangle

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