Question Number 64425 by Tawa1 last updated on 17/Jul/19
Commented by Prithwish sen last updated on 17/Jul/19
![Area of shaded portion = Area of square − Area of quarter circle = a^2 − ((πa^2 )/4) [ if a be the side of the square then it is also the radius of the circle as well ]](Q64428.png)
$$\mathrm{Area}\:\mathrm{of}\:\mathrm{shaded}\:\mathrm{portion}\:=\: \\ $$$$\mathrm{Area}\:\mathrm{of}\:\mathrm{square}\:−\:\mathrm{Area}\:\mathrm{of}\:\mathrm{quarter}\:\mathrm{circle} \\ $$$$=\:\mathrm{a}^{\mathrm{2}} \:−\:\frac{\pi\mathrm{a}^{\mathrm{2}} }{\mathrm{4}}\:\left[\:\mathrm{if}\:\boldsymbol{\mathrm{a}}\:\mathrm{be}\:\mathrm{the}\:\mathrm{side}\:\mathrm{of}\:\mathrm{the}\:\mathrm{square}\right. \\ $$$$\left.\mathrm{then}\:\mathrm{it}\:\mathrm{is}\:\mathrm{also}\:\mathrm{the}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{as}\:\mathrm{well}\:\right] \\ $$$$ \\ $$
Commented by Tawa1 last updated on 17/Jul/19
$$\mathrm{The}\:\mathrm{shape}\:\mathrm{is}\:\mathrm{a}\:\mathrm{square} \\ $$
Commented by Tawa1 last updated on 17/Jul/19
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{shaded}\:\mathrm{region} \\ $$
Commented by Tawa1 last updated on 17/Jul/19
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$