What is the radius and center for (x-2)^{2}+y^{2}=16? A. r=16; center

Bergen 2021-09-21 Answered
What is the radius and center for \(\displaystyle{\left({x}-{2}\right)}^{{{2}}}+{y}^{{{2}}}={16}?\)
A. \(\displaystyle{r}={16}\); center is (2,0)
B. \(\displaystyle{r}={4}\); center is (-2,0)
C. \(\displaystyle{r}={16}\); center is (-2,0)
D. \(\displaystyle{r}={4}\); center is (2,0)

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

Alix Ortiz
Answered 2021-09-22 Author has 9811 answers
Step 1
Given equation is \(\displaystyle{\left({x}−{2}\right)}^{{{2}}}+{y}^{{{2}}}={16}\)
find radius and center
Step 2
given equation is a circle
standard form of an equation of a circle is \(\displaystyle{\left({x}-{h}\right)}^{{{2}}}+{\left({y}-{k}\right)}^{{{2}}}={r}^{{{2}}}\)
center \(\displaystyle={\left({h},{k}\right)}\)
radius \(\displaystyle={r}\)
lets write the given equation in standard form
\(\displaystyle{\left({x}-{2}\right)}^{{{2}}}+{\left({y}-{0}\right)}^{{{2}}}={4}^{{{2}}}\)
center \(\displaystyle={\left({2},{0}\right)}\)
radius \(\displaystyle={r}={4}\)
Thus D is a correct option.
Have a similar question?
Ask An Expert
14
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-08-09
What is the radius and center for \(\displaystyle{\left({x}-{2}\right)}^{{{2}}}+{y}^{{{2}}}={16}?\)
A. \(\displaystyle{r}={16}\). center is (2,0)
B. \(\displaystyle{r}={4}\). center is (-2,0)
C. \(\displaystyle{r}={16}\). center is (-2,0)
D. \(\displaystyle{r}={4}\). center is (2,0)
asked 2021-08-08
Identify the center and radius of the circles
1) \(\displaystyle{\left({x}-{1}\right)}^{{{2}}}+{\left({y}+{3}\right)}^{{{2}}}={4}\)
2) \(\displaystyle{\left({x}-{2}\right)}^{{{2}}}+{\left({y}-{1}\right)}^{{{2}}}={16}\)
3) \(\displaystyle{x}^{{{2}}}+{\left({y}-{3}\right)}^{{{2}}}={14}\)
4) \(\displaystyle{x}^{{{2}}}+{4}{x}+{y}^{{{2}}}={32}\)
asked 2021-08-11
Point (O) is the center of the circle, radius = 655 m, determine the area and perimeter of the sector.
asked 2021-08-01
ABCD is a square with sides 8 cm long. Two circles each with radius 8 cm are drawn, one with center A and the other with center C.
Find the area of the region inside both circles.
asked 2021-08-15
Identify the center and radius of the following circles, as well as graph each circle:
\(\displaystyle{\left({x}-{3}\right)}^{{{2}}}+{\left({y}+{8}\right)}^{{{2}}}={144}\)
\(\displaystyle{x}^{{{2}}}+{\left({y}+{2}\right)}^{{{2}}}={56.25}\)
asked 2021-08-08
As shown in figure 5.111 to the right if the two small semicircle, each of radius 1 unit with centers O' and O' are contained in the bigger semi circle with center O, so that O' and O'' are on the same line, then what is the area of the shaded part?
asked 2021-06-30
What is the radius length of the circle with equation \(\displaystyle{x}^{{2}}+{y}^{{2}}-{x}+{y}-{4}={0}\)?
...