Question

Can Someone plz help me with the question??

Answer 1

x^2 + y^2 = 49

Explanation:

We can write the equation of a circle as

( x-h) ^2 + ( y-k) ^2 = r^2

where ( h,k) is the center and r is the radius

The radius is the distance from the center to a point on the circle

(0,0) to (7,0) is 7 units

so the the radius is 7

( x-0) ^2 + ( y-0) ^2 = 7^2

x^2 + y^2 = 49

Answer 2

`\boxed{x^2+y^2 = 49}`

Explanation:

First, we'll find the length of the radius using distance formula and the coordinates (0,0) and (7,0)

Distance Formula =
`√((x2-x1)^2+(y2-y1)^2)`

R =
`√((7-0)^2+(0-0)^2)`

R =
`√(7^2)`

Radius = 7 units

Now, Equation of circle:

`(x-a)^2+(y-b)^2 = R^2`

Where (a,b) = (0,0) So, a = 0, b = 0 and R = 7 units

=>
`(x-0)^2+(y-0)^2 = (7)^2`

=>
`x^2+y^2 = 49`

This is the required equation of the circle.