Two circular pieces of equal radii and maximum area, touching each other are cut
out from a rectangular card board of dimensions 14 cm 7 cm. Find the area of the
remaining card board. Use pie=22/7

Asked by shailesh.solanki | 18th Mar, 2018, 07:29: PM

Expert Answer:

begin mathsize 16px style Dimensions space of space rectangular space board space is space 14 cm space cross times space 7 space cm.
Area space of space rectangular space board equals 14 cross times 7 equals 98 space cm squared
Area space of space 2 space circular space pieces equals 2 πr squared
Diameter space can space not space be space more space than space 7 space hence comma space straight r equals 7 over 2 space cm
Area space of space 2 space circular space pieces equals 2 cross times 22 over 7 cross times 7 over 2 cross times 7 over 2 equals 77 space cm squared
Area space of space remaining space cardboard equals 98 minus 77 equals 21 space cm squared end style

Answered by Sneha shidid | 19th Mar, 2018, 10:44: AM