Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Given equation of the Circle is ,

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

Hence the point lies within the circle .

inside the circle

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with r = = 5

Calculate the distance d from the centre to the point (- 4, 2 ) using the distance formula

d =

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 4, 2)

d=

   =

   =

    =

    ≈ 4.5 ( to 1 dec. place )

Since 4.5 is less than the radius of 5

Then (- 4, 2 ) lies inside the circle

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8