Pickeyleo
Question.16 area of big semicircle=pie r²/2 =22*4.5*4.5/7*2 =445.5/14 area of 2 small semicircle = 2* pie r²/2 =pie r² =22*1.5*1.5/7 = 49.5/7 area of small semicircle(shaded)= pie r²/2 =22*1.5*1.5/7*2 =49.5/14 area of circle= pie r² =22*4.5/7 =99/7 area of shaded region=area of big semicircle - area of circle - area of 2 small semicircle + area of small semicircle(shaded) =445.5/14 - 99/7 - 49.5/7 +49.5/14 =445.5 - 198 - 99 + 49.5/7 =198/14 =14.14(approx)
Answers & Comments
area of big semicircle=pie r²/2
=22*4.5*4.5/7*2
=445.5/14
area of 2 small semicircle = 2* pie r²/2
=pie r²
=22*1.5*1.5/7
= 49.5/7
area of small semicircle(shaded)= pie r²/2
=22*1.5*1.5/7*2
=49.5/14
area of circle= pie r²
=22*4.5/7
=99/7
area of shaded region=area of big semicircle - area of circle - area of 2 small semicircle + area of small semicircle(shaded)
=445.5/14 - 99/7 - 49.5/7 +49.5/14
=445.5 - 198 - 99 + 49.5/7
=198/14
=14.14(approx)