Question

Here is your questions

Answer 1

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 =
`√(20)` /2

area of circle =
`\pi`
`r^(2)`

area of circle =
`\pi`(
`√(20)` /2)^2

area of circle =
`\pi`(
`√(20)` /2)(
`√(20)` /2)

area of circle =
`\pi`(20 / 4)

area of circle =
`\pi`5

area of circle = 5
`\pi`