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
solniwko [45]
3 years ago
11

the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0
The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}

d = \sqrt{144 + 64}

d = \sqrt{208}

r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}

(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2

x^2 + (y - 2)^2 = 52
You might be interested in
Please help <br> is not a exam is a activity
Mars2501 [29]

Answer:

y= 5x

Step-by-step explanation:

since each x number is 1/5 of the y, it's 5 times x = y

8 0
2 years ago
Section 1 test helppppp
Harrizon [31]
Don’t know the answer you did put nothing
3 0
3 years ago
PLEASE GIVE LATERAL SURFACE AREA AND TOTAL SURFACE AREA ASAP. WILL GIVE BRAINLIEST.​
8090 [49]

Answer

5 and 90

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A $350 purchase is discounted 15%. You use a 20% coupon. What is the total paid?
borishaifa [10]

Answer:

238 should be the answer

Step-by-step explanation:

6 0
3 years ago
What is 10,000 more than 6,310
elena-s [515]
16,310. It's just addition because more than means adding.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Mia is rolling a pair of 6-sided dice.
    9·2 answers
  • What is the slope of the line shown?
    11·1 answer
  • 36 1/2 divide by 29 1/4
    12·2 answers
  • Of all the students who participate in the school music programs in the district, 394 students play a wind instrument. If 2/5 of
    5·2 answers
  • Plz help me out in that because i don’t what is the value of 5n+9+n
    6·1 answer
  • 3) 18 + 9 + 19 x 19<br> I do not no how to do it
    9·2 answers
  • Please help 2=*255/<a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="93a5a6aad3bea6a6a5a6a5a3aa">[email&#
    13·1 answer
  • Which solid has a greater volume
    15·1 answer
  • Hi. I need help with these questions (see image)<br>Please show workings.<br>​
    15·1 answer
  • 75% of 48 show all the work
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!