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Sagot :

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]

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