TEN LITTLE FINGERS - Arvind Gupta

PAPER PROTRACTOR1. Take a 10cm x 10cmpiece of square paper(ABCD).2. Fold along itsmiddle line EF.3. Fold corner B and move it upand down on mid-line EF untilline BA passes through the lefthandcorner A. Crease AG.CD90 04. By doing this angle AGB will become 60 degrees.In triangle ABG, angle A is a corner of a square (90degrees), angle AGB is 60 so the remaining angleBAG will be 30 degrees. Now fold the lower trianglealong line BG and tuck it below triangle ABG.PBAP15 0AD75 0 90 060 0D B30 090 0600GB6. As angle ABP is aright angle being acorner of a square sothe remaining angleAPB will be 75degrees.Which Holds More?G15 030 090 075 0 60 0A300 30 0150 060 05. Bring edges AD and AB together soas to bisect angle DAP (30 degrees)into half. Now angle PAB will be 15degrees.7. Now we have a beautifulpaper protractor with angles of15,30,45,60,75 and 90 degreesmarked on it. Corners P (75degrees) and G (60 degrees) canalways be opened and doubledto make angles of 150 and 120degrees. So, next time if youforget your geometry box, thereisn’t much to worry about. Justfold a paper protractor.G1. Take two postcardsand roll each one of theminto a tube. One the longway and the other theshort way. Do not overlapthe ends. Tape the ends.2. One cylinder willbe tall and thin. Theother will be fat andshort Both will havethe same surfacearea.3. Will each cylinder hold the sameamount? What do you think is theanswer? The short and fat cylinderholds much more sand. Why?