Question

write an equation standard form of an ellips that is 28 units high and 20 units wide. The centre of the ellipse is (0,0).

Answer 1

The standard form of ellipse with vertical major axis and center at the origin is:

x^2/b^2+y^2/a^2=1, a>b

2a=length of the major axis=28

a=14

a^2=196

...............................................

2b=length of minor axis=20

b=10

b^2=100

x^2/196+y^2/100=1

making y the subject we get

y=5/7(196-x²)^0.5