A rectangular plate is of 6 in breadth and 12 in length. Two apertures of 2 in diameter each and one aperture of 1 in diameter have been made with the help of a gas cutter. What is the area of the remaining portion of the plate?  Answers.
A) 62.5 sq.in
B) 68.5 sq.in
C) 64.5 sq.in
D) 66.5 sq.in
E) None of these
Required area = 6 × 12 – {2×π(2/2)2+π(1/2)2}   = 72 - (2π + π⁄4) = 72 - 9π⁄4 = 72 - 9⁄4 × 22⁄7   = 72 - (99⁄14) = 7.07 = 64.94 sq in.   Answer None of these
<result>E</result>
A rectangular plate is of 6 in breadth and 12 in length. Two apertures of 2 in diameter each and one aperture of 1 in diameter have been made with the help of a gas cutter. What is the area of the remaining portion of the plate?