The area of the curve (x ^ { 2 } + y ^ { 2 } = 2 a x) is. | MATH - EQUATIONS OF CIRCLE, GEOMETRICAL PROBLEMS REGARDING CIRCLE | SolveeIt

The area of the curve $x ^ { 2 } + y ^ { 2 } = 2 a x$ is.

$\pi a ^ { 2 }$

$2 \pi a ^ { 2 }$

$4 \pi a ^ { 2 }$

$\frac { 1 } { 2 } \pi a ^ { 2 }$

Answer

$\pi a ^ { 2 }$

Explanation

$x ^ { 2 } + y ^ { 2 } - 2 a x = 0$

Obvioiusly, radius of the circle is a. Hence the area of triangle is $\pi a ^ { 2 }$ .

Question: The area of the curve \(x ^ { 2 } + y ^ { 2 } = 2 a x\) is....