Question

the oval track below is formed by a straight section on each side and a semicircle at each end. what is the approximate distance around the track?
140 feet
300 feet
440 feet
820 feet
1,040 feet
1,340 feet

Explanation:

Step1: Analyze the track structure

The track has two straight sections (each 300 feet) and two semicircular ends (which form a full circle). The diameter of the semicircles is 140 feet.

Step2: Calculate the length of the straight sections

Two straight sections: \( 2\times300 = 600 \) feet.

Step3: Calculate the circumference of the circle (from the two semicircles)

The formula for the circumference of a circle is \( C=\pi d \), where \( d = 140 \) feet. Using \( \pi\approx3.14 \), we get \( C\approx3.14\times140 = 439.6 \approx 440 \) feet.

Step4: Total distance around the track

Add the length of the straight sections and the circumference of the circle: \( 600 + 440 = 1040 \) feet.

Answer:

1040 feet (corresponding to the option "1,040 feet")