Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 166641 by pete last updated on 23/Feb/22

$$\mathrm{From}\mathrm{the}\mathrm{standard}\mathrm{equation}\mathrm{of}\mathrm{a}\mathrm{circle},$$$$\mathrm{using}\mathrm{the}\mathrm{origin}(0,0),\mathrm{we}\mathrm{deduced}\mathrm{the}\mathrm{eqution}$$$${(\mathrm{x}-\mathrm{a})}^2+{(\mathrm{y}-\mathrm{b})}^2={\mathrm{r}}^2\mathrm{to}{\mathrm{x}}^2+{\mathrm{y}}^2={\mathrm{r}}^2.$$$$\mathrm{In}\mathrm{what}\mathrm{terms}\mathrm{do}\mathrm{we}\mathrm{use}\mathrm{this}\mathrm{formular}?$$

Commented by MJS_new last updated on 24/Feb/22

$$\mathrm{well},\mathrm{we}\mathrm{use}\mathrm{this}\mathrm{formula}\mathrm{every}\mathrm{time}\mathrm{we}\mathrm{have}$$$$\mathrm{a}\mathrm{circle}\mathrm{with}\mathrm{center}(0\mid 0)\mathrm{and}\mathrm{radius}r...$$$$\mathrm{the}\mathrm{question}\mathrm{seems}\mathrm{strange}\mathrm{to}\mathrm{me}.$$

Answered by alephzero last updated on 24/Feb/22

$${(x-a)}^2+{(y-b)}^2=r^2$$$$\Rightarrow {(y-b)}^2=r^2-{(x-a)}^2$$$$\Rightarrow y-b=\pm \sqrt{r^2-{(x-a)}^2}$$$$\Rightarrow y=\pm \sqrt{r^2-{(x-a)}^2}-b$$$$\mathrm{Plot}\mathrm{of}\mathrm{this}\mathrm{equation}\mathrm{looks}\mathrm{like}\mathrm{a}$$$$\mathrm{circle}.$$

Commented by mr W last updated on 24/Feb/22

$$forme{(x-a)}^2+{(y-b)}^2=r^{2}looks$$$$morelikeacirclethan$$$$y=\pm \sqrt{r^2-{(x-a)}^2}-b.$$

Commented by pete last updated on 24/Feb/22

$$\mathrm{Thanks}\mathrm{Sir}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com