Let coordinates of C be (h,k). A=(2,3),B=(3,2) Coordinates of centroid =(‌
2+h+3
3
,‌
k+3+2
3
)=(‌
h+5
3
,‌
k+5
3
) ∴‌‌(‌
h+5
3
)2+(‌
k+5
3
)2=25‌‌‌ [given] ‌ (h+5)2+(k+5)2=(15)2 (x+5)2+(Y+5)2=(15)2 which is the equation of circle with radius 15 units. ‌ ⇒ Diameter ‌=30‌ units ‌
