The area of the circle with center located at Point B (3, 1) and tangent to the y-axis is 9π units^2. The answer is E.
The area of a circle is the area enclosed by the circle. It is the product of the square of the radius and the constant π. The Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.
Area of circle = πr^2
To know the radius of a circle given its center and tangent line to it, find the distance between the the center and the point of tangency. As the radius is the distance from the center of the circle to any point in the circumference of the circle
If the circle is tangent to y-axis, then the radius is the absolute value of the x-coordinate.
r = 3 units
Using the formula for the area of a circle:
Area of circle = πr^2
Area of circle = π(3 units)^2
Area of circle = 9π units^2
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