Question

The points (7,3), (2,8), (-3,3) lie on a circle. Find the
Equation of the circle
Radius of the circle

Answer 1

Answer:

hey mate

plz refer to the pic

Answer 2

Answer:

Equation of the circle = ${(x - 20)}^{2} + {(y - 20)}^{2} = 458.$

Radius of the circle = √458.

Step-by-step explanation:

• The equation of circle offers an algebraic manner to explain a circle, given the middle and the duration of the radius of a circle.
• The equation of a circle isn't like the formulation which can be used to calculate the location or the circumference of a circle.
• This equation is used throughout many troubles of circles in coordinate geometry..
• A circle may be represented in lots of forms:

1. General form
2. Standard form
3. Parametric form
4. Polar form

General equation of circle ;

$(x - y)^{2} + {(y - k}^{2} = {r}^{2}$

Given points :

(7,3) , (2,8) ,((-3,3)

• When circle passes through (7,3)

${(7 - h)}^{2} + (3 - k) ^{2} = {r}^{2}$

• when circles passes through (2,8)

${(2 - h)}^{2} + + {(8 - k)}^{2} = {r}^{2}$

• when circle passes through (-3,3)

${( - 3 - h)}^{2} + {(3 - k)}^{2} = {r}^{2}$

upon solving these equations:

we will get

h= k= 20

r=√458.

hence , equation of circle is :

${(x - 20)}^{2} + {(y - 20)}^{2} = 458.$

(#SPJ2)