Question

The radius of a circle is (x + y - 1). Find its area.​

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{Equation\;of\;the\;circle\;is\;x^2+y^2=1}$

$\underline{\textbf{To find:}}$

$\textsf{Find the area of the circle}$

$\underline{\textbf{Solution:}}$

$\underline{\textbf{Formula used:}}$

$\boxed{\mathsf{Area\;of\;a\;circle\;of\;radius \;r=\pi\,r^2\;square\;units}}$

$\mathsf{The\;given\;equation\;of\;circle\;is\;of\;the\;form\;x^2+y^2=r^2}$

$\implies\mathsf{r^2=1\implies\;r=1\;unit}$

$\underline{\textsf{Area of the circle}}$

$\mathsf{=\pi\,r^2}$

$\mathsf{=3.14{\times}(1)^2}$

$\mathsf{=3.14\;square\;units}$

$\underline{\textbf{Find more:}}$

Find the equation of the circle passing through the points (1,2),(3,-4)and (5,-6)find the centre and rafius in each case

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