Question

Determine the space (area) needed to build the new track.

Answer 1

Answer:

The area needed is 13,000 square feet.

Step-by-step explanation:

The total space (area) = area of the square + area of the two half circles

=> Total area = area of square + area of the circle (as adding the two halves makes a complete circle)

$i.e \\ total \: area \: = 51 \times 250 + \pi( {r}^{2} ) \\ total \: area \: = 12750 + \pi( {25.5}^{2} ) \\ total \: area \: = 12750+ 251 \\ total \: area \: = 13000 \: square \: feet$