This diagram shows the aerial view of a playground. what is the area of the playground to the nearest square yard? use the value 3.14.

a) 2,732 square yards
b) 2,992 square yards
c) 3,423 square yards
d) 3,554 square yards
e) 3,588 square yards

The shapes found in the image are incomplete circle and triangle.

The radius is given at 35 yards.

Area of the circle = 3.14 * (35yd)² = 3.14 * 1225 yd² = 3,846.5 yd²
Area of the circle = 3,846.50 yd²  * (280/360)° = 2991.72 yd²

The area of the triangular section will be 
Area of the triangle = (1/2)*(45 yd)*(25 yd) = 562.5 yd² 

So the total area is 
(2991.72 + 562.5) yd² = 3554.22 yd^2 ≈ 3554 yd²    Choice D.

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