Question

What is the radius with a point (-8,6) and center (0,0)

Answer 1

radius, r = 10

Explanation:

general equation of a circle is,

(x - h)² + (y - k)² = r²

where, (x, y) are the co - ordinate points

(h, k) is the center of the circle

according to the question,

(x, y) = (-8, 6)

(h, k) = (0, 0)

substituting the values in the equation,

(-8 - 0)² + (6 - 0)² = r²

(-8)² + (6)² = r²

64 + 36 = r²

r² = 100

thus, radius, r = √100 = 10