The answer is (2, -1)
The area of the circle is:
A = r²π
We know
A = 78.5
π = 3.14
78.5 = r² * 3.14
r² = 78.5 : 3.15
r² = 25
r = √25 = 5
The standard form equation of a circle is:
(x - h)² + (y - k)² = r²
We have:
(2, 4)
⇒ h = 2
k = 4
r = 5
(x - h)² + (y - k)² = r²
(x - 2)² + (y - 4)² = 5²
(x - 2)² + (y - 4)² = 25
Now, let's substitute all choices:
(-6, 4):
(-6 - 2)² + (2 - 4)² = 25
(-8)² + (-2)² = 25
64 + 4 = 25
68 = 25
INCORRECT
(2, -1)
(2 - 2)² + (-1 -4)² = 25
0² + (-5)² = 25
0 + 25 = 25
25 = 25
CORRECT
