A man running round a race course notes that the sum of the distances of two fla

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

Options:

A . 15√3π

B . 12√3π

C . 18√3π

D . 8√3π

Answer: Option D
:
D
The path he runs is an ellipse whose major axis is 4m,e=

\frac{1}{2}

Area=

π

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