Question-193671

Question Number 193671 by cherokeesay last updated on 17/Jun/23

Answered by mr W last updated on 17/Jun/23

R=radius a=width of rectangle 4^2 −a^2 =a(2R−a) ⇒Ra=(4^2 /2) area of rectangle=Ra=(4^2 /2)=8

$${R}={radius} \\ $$$${a}={width}\:{of}\:{rectangle} \\ $$$$\mathrm{4}^{\mathrm{2}} −{a}^{\mathrm{2}} ={a}\left(\mathrm{2}{R}−{a}\right) \\ $$$$\Rightarrow{Ra}=\frac{\mathrm{4}^{\mathrm{2}} }{\mathrm{2}} \\ $$$${area}\:{of}\:{rectangle}={Ra}=\frac{\mathrm{4}^{\mathrm{2}} }{\mathrm{2}}=\mathrm{8} \\ $$

Commented by cherokeesay last updated on 18/Jun/23