Question

a rectangular paper - board measuring 34 in long and 22 in wide has a semicircle cut out of it, as shown below. what is the perimeter of the paper - board that remains after the semicircle is removed? (use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.)

Explanation:

Step1: Find lengths of rectangle sides

$34 + 22+34$

Step2: Find semi - circle arc length

$\frac{1}{2}\times2\times3.14\times\frac{22}{2}= 3.14\times11$

Step3: Sum lengths

$(34 + 22+34)+3.14\times11$
$=90 + 34.54$

Answer:

$124.54$ in