Question

In the figure shown below the circles with centers O and R each have a radius of 2. If PQ=1, then the perimeter of rectangle KLMN is ___.

Answer 1

Since PQ=1 and the radius r of each circle is 2, then OP= QR= 1 and OR= 3.

Then KL=2+3+2=7. Sincer= 2,LM= $2\times$2 = 4.
The perimeter of KLMN is P= $2\times 7+2\times 4$ = 22.