Question

Write the equation that describes the circle having center point (1, 3) and radius r = 5 in standard form:

A. (x - 1)² + (y - 3)² = 25
B. (x - 3)² + (-1)² = 25
C. (x - 1)² + (y - 3)² = 5²
D. (x + 1)² + (y + 3)² = 25

Answer 1

The equation that describes the circle with center point (1, 3) and radius r = 5 in standard form is (x - 1)² + (y - 3)² = 25, which corresponds to option A.

Step-by-step explanation:

The equation that describes the circle with center point (1, 3) and radius r = 5 in standard form is given by the expression [(x - h)² + (y - k)² = r²], where (h, k) is the center of the circle and r is the radius. In this case, h = 1, k = 3, and r = 5. Substituting these values into the general equation we get:

(x - 1)² + (y - 3)² = 5²

Since 5² equals 25, the standard form equation of the circle is therefore:

(x - 1)² + (y - 3)² = 25

Comparing with the options provided, it matches with option A.