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Question Number 213550 by mr W last updated on 08/Nov/24

Commented by mr W last updated on 08/Nov/24

semicircle

semicircle

Answered by A5T last updated on 08/Nov/24

Commented by A5T last updated on 08/Nov/24

((s−3)/2)=r−3⇒s=2r−3  ((t−6)/2)=r−6⇒t=2r−6  (t−6)^2 +(s−3)^2 =(2r)^2 =4r^2   ⇒(2r−12)^2 +(2r−6)^2 =4r^2   ⇒r^2 −18r+45=0⇒r=3 or 15  t−6>0⇒r=15⇒2r=30

s32=r3s=2r3t62=r6t=2r6(t6)2+(s3)2=(2r)2=4r2(2r12)2+(2r6)2=4r2r218r+45=0r=3or15t6>0r=152r=30

Commented by mr W last updated on 08/Nov/24

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Answered by Spillover last updated on 09/Nov/24

  R²=[R -6]²+ [R -3]²        R² -12R +36 + R² -6R +9  R²=2R² -18R +45   R² -18R +45=0   R=[18+[324 -  180]½]/2     R=[18+12]/2=15  EF=[15+15]=30

R²=[R -6]²+ [R -3]² R² -12R +36 + R² -6R +9 R²=2R² -18R +45 R² -18R +45=0 R=[18+[324 - 180]½]/2 R=[18+12]/2=15 EF=[15+15]=30

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