The area of the region (\\{(x, y) : x^2 + y^2 \<= 2ax, y^2 >... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The area of the region $\\{(x, y) : x^2 + y^2 \leq 2ax, y^2 > ax, x \geq 0, y \geq 0\\} \text{ where } a > 0$ , is :

A

$(\frac{\pi}{4}-\frac23)a^2$ Sq.units

B

$(\frac{\pi}{4}+\frac23)a^2$ Sq.units

C

$(\frac{\pi}{3}+\frac43)a^2$ Sq.units

D

$(\frac{\pi}{3}-\frac43)a^2$ Sq.units

Answer

$(\frac{\pi}{4}-\frac23)a^2$ Sq.units

Explanation

Solution

The correct option is (A): $(\frac{\pi}{4}-\frac23)a^2$ Sq.units