Question

HELP ME PLEASE

Answer the following prompts with numerical answers only. If necessary, round answers to the nearest tenth of a unit.
The diameter of circle P has endpoints A(-1, 5) and B(4, -3).

Use the midpoint formula to find the coordinates of the center of the circle, P(x,y).
P(
a0,
a1)
Use the distance formula to find the length of the radius of circle P. The length of the radius of circle P is
a2 units.
Using 3.14 to approximate , the circumference of circle P. The circumference of circle P is approximately
a3 units.
Using 3.14 to approximate , the area of circle P is approximately
a4 square units.

Answer 1

Midpoint =1.5,1

radius 4.71699

C = 29.623

A =69.865

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

Answer 2

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.