Answer:
Step-by-step explanation:
strategy: find the distance of the two points, take half of that, b/c that will be the radius, Then use the area of a circle formula to find the answer
P1 = (1,-1) in the form (x1,y1)
P2= ((3,3) in the form (x2,y2)
dist = sqrt [ (x2-x1)^2 + (y2-y1)^2 ]
dist = sqrt [ 3 -1 )^2 + 3-(-1)^2 ]
dist = sqrt [ 2^2 + 4^2 ]
dist = sqrt [ 4 + 16 ]
dist = sqrt [20]
r = [tex]\sqrt{20}[/tex] /2
area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]
area of circle = [tex]\pi[/tex]([tex]\sqrt{20}[/tex] /2)^2
area of circle = [tex]\pi[/tex]([tex]\sqrt{20}[/tex] /2)([tex]\sqrt{20}[/tex] /2)
area of circle = [tex]\pi[/tex](20 / 4)
area of circle = [tex]\pi[/tex]5
area of circle = 5[tex]\pi[/tex]
