Expression 6: "h" left parenthesis, "x" , right parenthesis equals left brace, "x" less than or equal to 2 "r" : StartRoot, "r" "r" minus left parenthesis, "x" minus "r" , right parenthesis squared , EndRoot , "x" less than or equal to 2 "R" : 0 , right bracehx=x≤2r:rr−x−r2,x≤2R:0
6
Expression 7: "y" equals "r" left brace, "g" left parenthesis, "r" , right parenthesis less than or equal to "x" less than or equal to 2 times "R" minus "g" left parenthesis, "r" , right parenthesis , right bracey=rgr≤x≤2·R−gr
7
Expression 8: "D" equals 2 "R" minus 2 "g" left parenthesis, "r" , right parenthesisD=2R−2gr
equals=
2424
8
Expression 9: "r" equals StartRoot, "R" times "R" minus 12 squared , EndRootr=R·R−122
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
12 pi12π
domain \theta Maximum:
equals=
25.1 9 8 5 7 3 3 7 2 325.1985733723
9
${D} left parenthesis, "R" , "r" plus 1 , right parenthesisR,r+1
Label:
10
${A}pi left parenthesis, "r" plus "R" , 2 , right parenthesisr+R,2
Label:
11
Expression 12: "A" equals StartFraction, 1 Over pi , EndFraction Start integral from 0 to 2 "R" , end integral, left parenthesis, "f" left parenthesis, "x" , right parenthesis minus "h" left parenthesis, "x" , right parenthesis , right parenthesis "d" "x"A=1π∫2R0fx−hxdx