Answer:
The radius is 10
Explanation:
Use the circle equation:
(x - a)² + (y - b)² = r²
Plug in the known values. The values we have is x, y, a, and b.
The (x,y) will be our (4,5), the (-2,-3) will be out (a,b).
(4 - -2)² + (5 - -3)² = r²
(4 + 2)² + (5 + 3)² = r²
Solve
(6)² + (8)² = r²
36 + 64 = r²
100 = r²
Square root on both sides
10 = r
The radius of the circle is 10.