Question

“there are several approximations used for pi, including 3.14 and 22/7. pi is approximately 3.14159265358979..." a. label pi and the two approximations on the number line. «–-|———|———|———|———|———|———|—» 3.140 3.141 3.142 3.143 b. which of the two approximations is a better estimate for pi? explain. ________________________________________________________ c. find a whole number x in x/113 so that the ratio is a better estimate for pi than the two given approximations. ____________________________________

Answer 1

Hello,

a) | |PA|-π |>| |PB|-π | (see pic)

c) 3.14< x/113 <=π <22/7

==>3.14*113<x<22/7 * 113
==>354.82 <x < 355.14285
==>x=355


Answer 355/113=3,1415929203539823008849557522124