1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lelechka [254]
2 years ago
8

Find center and radius of a circle with a diameter that has endpoints of (3,-2) and (-5,-4)

Mathematics
1 answer:
Marrrta [24]2 years ago
3 0

Answer:

Center: (-1,-3)

Radius: 4.12 units

Step-by-step explanation:

Hi there!

<u>1) Find the center of the circle</u>

When given two diameter endpoints, we can find the center of the circle by calculating for the midpoint since the center lies in the middle of the points:

Midpoint: (\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}) where the two points are (x_1,y_1) and (x_2,y_2)

Plug in the diameter endpoints (3,-2) and (-5,-4)

(\frac{3+(-5)}{2} ,\frac{-2+(-4)}{2})\\(\frac{3-5}{2} ,\frac{-2-4}{2})\\(\frac{-2}{2} ,\frac{-6}{2})\\(-1,-3)

Therefore, the circle is centered at (-1,-3).

<u>2) Find the radius of the circle</u>

The radius of a circle is the distance between the outside edge and the center. We can find the radius by calculating for the distance between the center of the circle and one of the diameter endpoints.

Distance formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} where the two points are (x_1,y_1) and (x_2,y_2)

Plug in the center (-1,-3) and a diameter endpoint (3,-2)

d=\sqrt{(3-(-1))^2+(-2-(-3))^2}\\d=\sqrt{(3+1)^2+(-2+3)^2}\\d=\sqrt{(4)^2+(1)^2}\\d=\sqrt{16+1}\\d=\sqrt{17} \\d=4.12

Therefore, the radius of the circle is approximately 4.12 units when rounded to the nearest hundredth.

I hope this helps!

You might be interested in
8.29 in two different ways
ad-work [718]

Answer:

0.829 8.29/1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
44+88= __ (2+4)<br><br> 11<br> 6<br> 2<br> 22
DENIUS [597]
Dang I was just about to say 22
8 0
2 years ago
Read 2 more answers
Johan published a monthly poetry magazine. In March he printed 1400 copies of magazine. In April he increased his print run by 1
quester [9]

Answer:

1610

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the volume of a sphere that has a radius of 12 mm?
ycow [4]

Answer:

452.16

Step-by-step explanation:

πr^2 ... then substitute the numbers accordingly!

7 0
2 years ago
Solve each of the following systems using the linear combination method. Check your answers
Dvinal [7]
3x+5y=11 answer : 3x+5y-11=0

Step by step explanation:

3x+5y=11
Move the constant to the left

3x+5y-11=11-11
Eliminate the opposite

3x+5y=11

5y+8y
8 0
3 years ago
Other questions:
  • PLEASE HELP ASAP!!<br><br> Plot the approximate location of √23 on the number line.
    13·2 answers
  • Sarah has a solid wooden cube with a length of 4/5 centimeter. From each of its 8 corners, she cuts out a smaller cube with a le
    8·1 answer
  • Can someone quickly do this
    5·1 answer
  • Write a fraction that is equivalent to 6 explain why the fraction is equivalent to 6
    7·1 answer
  • The length of ​ AB¯¯¯¯¯ ​ is 9 centimeters. A dilation with a scale factor of 2 is applied to ​ AB¯¯¯¯¯ ​ . What is the length o
    9·1 answer
  • What is 3/4 divided by 1/4
    9·2 answers
  • SOME HELP ME PLS. I WILL MARK U BRAINLIEST
    11·1 answer
  • At the beginning of a basketball season, the panthers won 20 games out of 50 games. At this rate, how many games will they win i
    11·1 answer
  • Try to anwer this! i need helo alot of points if its correct &lt;3
    8·1 answer
  • In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!