Four Friends decided to host the grand opening of their bar on St. Patrick’s Day. They built their bars at different distances f
rom each other. John’s Bar is 60 km away from Ben’s Bar. Doug’s Bar is 40 km away from Kieran’s Bar. John’s Bar is 10 km nearer to Doug’s Bar than to Kieran’s Bar. Can you find out how far away is Doug’s Bar to Ben’s Bar?
<span>given:
bull's eye radius= x
width of surrounding rings=y
solution:
Radius of the circle=x+4y
Area of the outermost ring=Area of the circle-Area of the penultimate ring
=Ď€(x+4y)^2-Ď€(x+3y)^2
=Ď€(x^2+8xy+16y^2-x^2-9y^2-6xy)
=Ď€(2xy+7y^2)
hence the area of the outermost ring in terms of x and y is π(2xy+7y^2).</span>