Answered

IDNLearn.com: Your trusted platform for finding precise and reliable answers. Ask anything and get well-informed, reliable answers from our knowledgeable community members.

A circle on the coordinate plane has a diameter
with endpoints at (6, 8) and (15, 8).
a. What are the coordinates of the center of the
circle?
b. What is the diameter of the circle?
C. What is the radius of the circle?
d. Identify the coordinates of another point
on the circle. Explain how you found
your answer.

Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  a. (10.5, 8)

  b. 9

  c. 4.5

  d. (10.5, 12.5)

Step-by-step explanation:

a. The center of the circle is the midpoint of the diameter. Its coordinates are the average of the end point coordinates.

  C = ((6,8) +(15, 8))/2 = (21, 16)/2 = (10.5, 8) . . . circle center

__

b. The diameter lies on the horizontal line y=8, so its length is the difference of the x-coordinates of the end points: 15 -6 = 9 . . . circle diameter

__

c. The radius is half the diameter: 9/2 = 4.5 . . . circle radius

__

d. Another point on the circle will be 4.5 units from the center on the same vertical line: (10.5, 8) +(0, 4.5) = (10.5, 12.5) . . . another point on the circle

View image Sqdancefan
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.