Me
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.

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

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.

x+14

step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.