The circumference and the area of the circle in terms of "π" are 24π and 144π.
We are given a circle. The coordinates of the center of the circle are (12, -1). The circle passes through a point. The coordinates of the passing point are (0, -1). We need to find the circumference and area of the circle.
Let the radius, circumference, and area of the circle be denoted by the variables "r", "C", and "A", respectively. The radius is the distance between the center of the circle and a point on its boundary. We will use the distance formula.
r = √[(12 - 0)² + (-1 - (-1))²]
r = √[144 + 0]
r = 12
The radius of the given circle is 12 units.
The circumference of the circle is calculated below.
C = 2πr
C = 2π×12
C = 24π
The area of the circle is calculated below.
A = πr²
A = π(12)²
A = 144π
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