Need help with at least one of those:

Question

1) Create an equation of a circle and calculate the circumference of this circle and area if the center of the circle is located at the point (3; 0) and the circle passes through the point (7; 0).

2) Find the intersection of the lines 𝑦 = 4𝑥 Intersections of 2 − 16 and 𝑦 = 12𝑥 − 24. Draw lines and their intersection points in the figure.

Thank you.

Answer 1

If the center of the circle is at (3,0) and (7,0 lies on the circle, those points lie on the x-axis, so the distance between them is |7 - 3| = 4. That is the radius of the circle.

So its equation is:

(x - 3)² + (y - 0)² = 4²

(x - 3)² + y² = 16

Since you know the radius use the formulas for circumference and area:

C = 2π(4) = 8π units

A = π(4)² = 16π square units

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