The graph is shown below. The area and circumference of the circle are approximately 50.24 square units and 25.133 units, respectively.
How to find the area and circumference of a circle
According to geometry, a circle can be generated by knowing the coordinates of the center and a point that passes through the shape. The equations for the area and the circumference are, respectively:
A = π · r² (1)
s = 2π · r (2)
Where r is the radius of the circle.
And the radius of the circle can be found by the following formula:
r = √[[P(x, y) - C(x, y)] • [P(x, y) - C(x, y)]], r > 0 (3)
Where:
- P(x, y) - Point of the circle.
- C(x, y) - Center of the circle.
If we know that P(x, y) = (- 3, 0) and C(x,y) = (1, 0), then radius of the circle is:
r = √[(- 4, 0) • (- 4, 0)]
r = √[(- 4)² + 0²]
r = 4
And the area and circumference of the circle are, respectively:
A = π · 4²
A = 16π
A ≈ 50.24
s = 2π · 4
s = 8π
s ≈ 25.133
To learn more on circles: https://brainly.com/question/11833983
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