Will give Brainliest need help asap A circle has an area of approximately 78.5 square units. If the center of the circle is at Left-parenthesis 2 comma 4 right-parenthesis. Which of the following points is on the circle? A. Left-parenthesis negative 6 comma 4 right-parenthesis B. Left-parenthesis 2 comma negative 1 right-parenthesis C. Left-parenthesis negative 4 comma negative 4 right-parenthesis D. Left-parenthesis 2 comma negative 9 right-parenthesis

The answer is (2, -1)

Step-by-step explanation:

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

Wrong

(2, -1)

(2 - 2)² + (-1 -4)² = 25

0² + (-5)² = 25

0 + 25 = 25

25 = 25

Right

Hope this helps :p

(2, -1)

Step-by-step explanation:

same test

true !

step-by-step explanation: