Question

Find the diameter of circle Z if the center has coordinates (0, 2) and

a point on the circle is (3,4).

Answer 1

Diameter of the circle = 2√13

Explanation:

The radius is calculated by using the formula for calculating the distance between the two points as shown;

R = √(y2-y1)²+(x2-x1)²

Given the coordinates (0, 2) and (3,4)

R = √4-2)²+(3-0)²

R = √2²+3²

R = √4+9

R = √13

Diameter = 2R

Diameter of the circle = 2√13