An ellipse has an area of 4.71 in.2 and a minor axis that is 2.00 in. long. Solve for the major axis, and then sketch the ellipse using that dimension. Show only those dimensions needed for the area calculation. Note: Each grid unit = 0.25 inch.

Question
Answer:
by definition we have that the area of the ellipse is
 A = pi * a * b
 where
 a: Semi-main axis
 b: Semi-minor axis
 Substituting and clearing:
 a = A / (pi * b) = (4.71) / (PI * 1) = 1.50 in.
 Therefore the main axis is
 2 * a = 2 * (1.50) = 3in
 Graphic attached.
solved
general 6 months ago 7155