What is the estimated perimeter of an ellipse if the major axis has a length of 15 ft and the minor axis has a length of 7.5 ft? round your answer to the nearest tenth. a. 36.7 ft b. 37.3 ft c. 25.7 ft d. 24.2 ft

Option B is correct.

The estimated perimeter of an ellipse is 37.3ft

Step-by-step explanation:

Given:

Length of Major-axis (2a)=15ft

Length of minor-axis (2b)=7.5ft

For an ellipse, the perimeter (P) approximately given by:

, where a and b are semi major axis and semi minor axis respectively.(Use approx. value of )

Here, a=7.5ft and b=3.75ft,  putting in above equation, we get

After solving the square-root we get,

.

Therefore, the estimated perimeter of an ellipse is 37.3ft.

P = 2*pi*sqrt(a^2 +b^2/2 =

2 *3.14 * sqrt(15/2^2 +7.5/2^2/2 =

6.28 x sqrt(56.25+14.0625/2

6.28 *sqrt(35.15625)

6.28 * 5.929270613= 37.235

answer is B 37.3 feet

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step-by-step explanation:

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