The center of the circle is (7,8) and the equation of the given circle is (x- 7)^2 + (y - 8)^2 = 16
<h3>How to determine the equation of the circle?</h3>
The given parameters are:
Center (a,b) = (7,8)
Point (x,y) = (11,8)
Calculate the radius (r) using:
![r = \sqrt{(x- a)^2 + (y - b)^2}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%28x-%20a%29%5E2%20%2B%20%28y%20-%20b%29%5E2%7D)
So, we have:
![r= \sqrt{(11- 7)^2 + (8 - 8)^2}](https://tex.z-dn.net/?f=r%3D%20%5Csqrt%7B%2811-%207%29%5E2%20%2B%20%288%20-%208%29%5E2%7D)
Evaluate the expression
![r = 4](https://tex.z-dn.net/?f=r%20%3D%204)
The circle equation is then calculated using:
![(x- a)^2 + (y - b)^2 =r^2](https://tex.z-dn.net/?f=%28x-%20a%29%5E2%20%2B%20%28y%20-%20b%29%5E2%20%3Dr%5E2)
So, we have:
![(x- 7)^2 + (y - 8)^2 = 4^2](https://tex.z-dn.net/?f=%28x-%207%29%5E2%20%2B%20%28y%20-%208%29%5E2%20%3D%20%204%5E2)
Evaluate the exponent
![(x- 7)^2 + (y - 8)^2 = 16](https://tex.z-dn.net/?f=%28x-%207%29%5E2%20%2B%20%28y%20-%208%29%5E2%20%3D%2016)
Hence, the equation of the given circle is (x- 7)^2 + (y - 8)^2 = 16
Read more about circle equations at:
brainly.com/question/1559324
Answer:
a)5
b)Yes
Step-by-step explanation:
32x4=128
32x5=160
So a equals 5
B it's still the same because 30x5 equals to 150
Answer:
Its about 678.584
Step-by-step explanation:
First plug in your given info so put 6 for the r and 6 for thr h. the r stands for radius and the h stands for hight. Then solve for 6 squared which is just 6*6 which is 36 then multiply that by 6 to get 216. then multiply 216 by pie to get your answer.
If you need further explanation just comment on this for help
Answer:
Rotation
Step-by step
because when u flip everything around its called rotation. hope this helps u
Answer:
30°
Step-by-step explanation:
Area of a triangle can be found using either of the formula:
1. area = 1/2 x base x height
2. area = 1/2 ab sin c
Since we know the length of the two edges, we will use the 2nd formula:
Area = 1/2 ab sin c
Substituting the known values:
28 = 1/2 (14)(8) sin c
28 = 56 sin c
sin c = 0.5
c = 30°