Can someone answer these three questions for me please? Thank you so much:) 50 points! ASAP!

1. A circle with center (-1, 2) passes through point (2, -2). Which is true?
a. the radius is √5
b. The diameter is 10
c. the equation is (x+1)^2 +(y-2)^2 =10
d. the circumfrence is 25 pi

2. WHich of the following is the graph of (x-2)^2 + (y-1)^2 =9?
(see attachments for a b c and d choices)

3. Which is the equation of a circle with diameter AB with A(5,4) and B(-1, -4)?
a. (x-5)^2 + (y-4)^2 =10
b. (x+5)^2 + (y+4)^2 = 100
c. (x-2)^2 + y^2 = 25
d. (x+2)^2 +y^2=5

B, B, and C

Step-by-step explanation:

1. We see that the center is (-1, 2) and the point the circle goes through is

(2, -2). We can use the distance formula to figure out the radius:

r =

Diameter = 2 * radius = 2 * 5 =10. Thus, the answer is B.

2. According to the equation, we can find the center and radius. The generic formula of a circle is: , where h is the x coordinate of the center, k is the y coordinate of the center, and r is the radius.

Here, we see that h = 2, k = 1, and r^2 = 9 so r = 3. Look for an answer choice that matches this description. Only B matches, so that's the answer.

3. We see that the diameter is from (5, 4) to (-1, -4), so let's use the distance formula to figure out the length:

d = .

So, since d = 10, then r = 5 (because the radius is 1/2 of the diameter)

With just this information, we can just look at the answer choices. The correct answer should be the one where the right side is equal to r^2 = 5^2 = 25. Only C matches, so that's the answer.

The answers are B, B, and C.

Hope that helps!