Answer:
Option (B) 5.1 units
Step-by-step explanation:
Since the radius of the circle is half of its diameter and given the diameter of the circle is 10.2 units then the radius would be 
Thus the answer.
Answer:
The answer to your question is x ² + y² = 64
Step-by-step explanation:
Process
1.- Find the length of the radius
C (0, 0)
P (0, -8)
d = 
d = 
d = 
d = 8
2.- Find the equation of the circle

h = 0 and k = 0

x² + y² = 64
Answer:
Step-by-step explanation:
Answer:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
4/6
= (4/2) / (6/2) (divide both numerator and denominator by 2)
= 2/3
The final answer is 2/3~