Question

HELP ME PLEASE

Answer 1

To find the midpoint, add the 2 x values and divide by 2 and then do the same with the y values:

Midpoint = (-1 +4)/2 , (5 + -3)/2

Midpoint = 3/2, 2/2

Center of circle = (3/2, 1)

Radius = √((3/2 - -1)^2 + (1-5)^2)

= √89/2 = 4.7 units.

Circumference = 2 x PI x r

= 2 x 3.14 x 4.7 = 29.5 units

Area = PI x r^2

= 3.14 x 4.7^2

= 3.14 x 22.09

= 69.4 square units.

Answer 2

Answer:

Midpoint   =1.5,1

radius   4.71699

C = 29.623

A  =69.865

Step-by-step explanation:

To find the midpoint, add the endpoint coordinates together and divide by 2

M = (x1+x2)/2, (y1+y2)/2

   = (-1+4)/2, (5+-3)/2

   = 3/2 , 2/2

  =1.5,1

Once we know the midpoint, we can find the radius from one endpoint to the midpoint

d = sqrt( (x2-x1)^2+ (y2-y1)^2)

     sqrt( (1.5--1)^2+ (1-5)^2)

   sqrt(( 1.5+1)^2 + (4)^2)

   sqrt( 2.5^2 +16)

      sqrt(6.25 +16)

  sqrt(22.25)

  4.71699

The circumference is given by

C = 2*pi*r

   = 2* (3.14) * 4.717

    = 29.623

The area of a circle is given by

A = pi r^2

  = 3.14 * 4.717^2

   =69.865