I NEED HELP WITH BOTH OF THESE

first one is C

the second it is A

Step-by-step explanation:

the equation of a circle=(x-h)^2 + (y-k)^2 = r^2

h and k are the coordinate of the origin of a circle

to find the origin  which is the midpoint of the diameter which has end points

(9,1) and (1,9)

h=9+1/2 = 10/2=5

k=9+1/2 = 10/2=5

(x-5)²+(x+5)²=r²

find r which is the half distance of the diameter

d of diameter : √(x2-x1)²+(y1-y2)²

d=√(9-1)²+(1-9)²

d=√8²+8²=8√2

radius=8√2/2=4√2

(x-5)²+(x+5)²=r²

(x-5)²+(x+5)²=(4√2)²

(x-5)²+(x+5)²=32

TR>TS the sides RS and TS are congruent opposite angles are equal.