Question

A diameter of a circle extends from (2,-7) to (5,-3)

Circles
ANSWERED
asked 2021-08-07
A diameter of a circle extends from (2,-7) to (5,-3) what is the length of the circles radius?

Answers (1)

2021-08-08
Step 1
Radius \(\displaystyle{y}={\frac{{{1}}}{{{2}}}}{x}\) distance between points on diameter.
Points on diameter are (2,-7) and (5,-3)
So distance between \(\displaystyle{\left({x}_{{{1}}},{y}_{{{1}}}\right)}\) and \(\displaystyle{\left({x}_{{{2}}},{y}_{{{2}}}\right)}\) is
\(\displaystyle=\sqrt{{{\left({x}_{{{2}}}-{x}_{{{1}}}\right)}^{{{2}}}+{\left({y}_{{{2}}}-{y}_{{{1}}}\right)}^{{{2}}}}}\)
Step 2
So distance between (2,-7) and (5,-3) so
That \(\displaystyle=\sqrt{{{\left({5}-{2}\right)}^{{{2}}}+{\left(-{3}+{7}\right)}^{{{2}}}}}\)
\(\displaystyle=\sqrt{{{9}+{16}}}\)
\(\displaystyle=\sqrt{{{25}}}\)
\(\displaystyle={5}\)
So radius of circle \(\displaystyle={\frac{{{1}}}{{{2}}}}{x}{5}={25}\)
0
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours
...