Question

A man running round a race course notes that the sum of the distances of two flag posts from him is 8 meters.The area of the path he encloses in square meters if the distance between flag posts is 4 is

• A. $15\sqrt{3}\pi$
• B. $12\sqrt{3}\pi$
• C. $18\sqrt{3}\pi$
• D. $8\sqrt{3}\pi$

Answer 1

The correct option is D $8\sqrt{3}\pi$

The path he runs is an ellipse whose major axis is 4m,e=$\frac{1}{2}$
Area=$\pi$ ab