"what we have to do here is " color(blue)"compare "" the"what we have to do here is compare the
"distance (d) between the centres to the "color(blue)"sum of the radii"distance (d) between the centres to the sum of the radii
• " if sum of radii ">d" then circles overlap"∙ if sum of radii >d then circles overlap
• " if sum of radii "< d" then no overlap"∙ if sum of radii <d then no overlap
"before calculating d we require to find the 'new' coordinates"before calculating d we require to find the 'new' coordinates
"of centre B under the given translation which does not change"of centre B under the given translation which does not change
" the shape of the circle only it's position" the shape of the circle only it's position
"under a translation" ((2),(7))
(6,1)to(6+2,7+1)to(8,8)larr" new centre of B"
"to calculate d note the centres are " (8,5)" and " (8,8)
"the x-coordinates are equal so centres lie on a "
"vertical line and "
d=8-5=3
"sum of radii "=4+2=6
"since sum of radii ">d" then circles overlap"
graph{(y^2-16y+x^2-16x+124)(y^2-10y+x^2-16x+73)=0 [-20, 20, -10, 10]}
