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
sergij07 [2.7K]
3 years ago
7

What is the equation of this circle in standard form?

Mathematics
2 answers:
viktelen [127]3 years ago
4 0
I hope this helps you

GuDViN [60]3 years ago
3 0

Answer:

Standard equation of circle:

(x-\frac{11}{2})^2+(y-4)^2=12.25

Step-by-step explanation:

Given: Ends points of diameter are M(2,4) and N(9,4)

Mid point of M and N is center of circle.

Let center of circle be O(h,k)

Using mid point formula:

[tex[(x,y)\rightarrow (\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

O(h,k)\rightarrow (\dfrac{2+9}{2},\dfrac{4+4}{2})

O(h,k)\rightarrow (\dfrac{11}{2},4)

Distance between O and M is radius of circle.

Let radius of circle be r

Using distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

r=\sqrt{(\dfrac{11}{2}-2)^2+(4-4)^2=3.5

Standard equation of circle:

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

Equation of required circle:

(x-\frac{11}{2})^2+(y-4)^2=3.5^2

(x-\frac{11}{2})^2+(y-4)^2=12.25

You might be interested in
Solve by simplifying the problem. There are 18 students in Mr. Alvarez’s art class. Throughout the year, every student must pair
djyliett [7]
Not enough clues to answer this question
5 0
3 years ago
4. Find the exact volume of the cylinder. Use alt+227 or pi for pi as needed. . 1<br> 16<br> 21
lisov135 [29]

Answer:

Step-by-step explanation:

\text{The volume of a cylinder is}\\ \\ V=h\pi r^2,\ r=16/2=8,/ h=21\\ \\ V=21\pi (8^2)\\ \\ V=1344\pi

8 0
3 years ago
Question 5 (1 point)
11Alexandr11 [23.1K]

Answer:

Hi there!

The answer to this question is (B) 4

Step-by-step explanation:

Using the order of operations, you first solve what it is inside of the parenthesis, which in this case is (4-2), that equals to 2.

then you need to figure out what multiply by 2 gets 8. Out of all the answer choice (B) fits perfectly.

8 0
2 years ago
Katrin is making a poster for school elections. She draws a line 20.4 cm long across the poster board. She starts at one end of
nevsk [136]
Well, to find out how many times 20.4 can split into 3.4, you need to divide 20.4÷3.4 and you will get 6, and Katrin (K-A-T-R-I-N) is 6 letters, so you have enough room, the answer is yes.
3 0
3 years ago
Determine if the set is empty<br> {x|x is a planet in our solar system whose name begins with F}
Levart [38]
The set is empty............
6 0
3 years ago
Other questions:
  • Question:
    5·1 answer
  • 3|3k|= 27 PLEASE HELP!
    14·1 answer
  • )::)):):):):):):)):):):):):)):):):):):):)):)JUST HELP
    12·1 answer
  • A cantaloupe weighs 3/8 pound. A watermelon weighs 4 times as much as the
    6·1 answer
  • Students in Mrs. Burn's science class used scales to measure the mass, in grams, of a solid. The mass of
    12·1 answer
  • A skateboard that is originally $107 is on sale for 90% off!! How much does the skateboard cost?
    11·1 answer
  • 2 24-5what is 24 - 2x wanted to 24 - 5 exponent ​
    9·1 answer
  • Please help with this onee!!​
    11·1 answer
  • Help help help math math
    5·2 answers
  • Plss hellppp. Worth 10 points&lt;3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!