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The diagram shows the aerial view of a park. What is the length of the park's boundary to the nearest yard? Use the value pi = 3.14.

A:215 yards

B:266 yards

C:285 yards

D:309 yards

    The diagram shows the aerial view of a park. What is the length of the park-example-1
User Caner
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2 Answers

4 votes
It would be D) 309 yards.

User Thiyaga B
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3 votes

Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°

To Find: The length of the park's boundary to the nearest yard.

Calculation:

The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc

or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)

or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or, (P) = 100 yards + 209.33 yards

or, (P) = 309.33 yards ≈309 yards

Hence, the option D:309 yards is the correct option.

User Leaksterrr
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8.6k points
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