a bakery makes ginger bread men each 14cm high with a circular head and body 

the equation of the body is x^2 + y^2 -10x -12y +45 = 0

and the line of centres is parallel to the y axis 

find the equation of the head 

Guest Oct 28, 2018

what a bizarre question...


Well let's get the equation of the body in standard form so we can see what we're dealing with.


\(x^2+y^2 - 10x - 12y + 45 = 0\\ \text{complete the two squares on the left hand side}\\ (x-5)^2 - 25 + (y-6)^2 - 36 + 45 = 0 \\ \\ (x-5)^2 + (y-6)^2 = 16 \\ \\ \text{so the body is a circle centered at }(5,6) \text{ with a radius of 4 cm}\\ \\ \text{The overall height is 14cm, 8cm of this is the body, so the diameter of the head is 6cm}\\ \text{And the head must be centered at }(5, 11), \text{ i.e. one radius above the top of the body}\\ \\ \text{so the equation of the head centered at }(5,11) \text{ with radius 3 is}\\ (x-5)^2 + (y-11)^2 = 9\)

Rom  Oct 28, 2018

28 Online Users


New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.