Question

A 400-meter Olympic-size track can be modeled with a rectangle and two semicircles.

Answer 1

The answer to both the subparts using the circumference of the circle is:

• (A) If an athlete runs around the track then the athlete traveled (168.78+73π)m.
• (B) The area of green space on the track is 0.64m².

What is a length of a rectangle?

• The length of the rectangle is traditionally thought of as being the longer of these two dimensions, however, when the rectangle is depicted standing on the ground, the vertical side is typically referred to as the length.

What is a circumference of a circle?

• The distance along a circle's perimeter is referred to as its circumference.
• Circumference of the circle formula: C = 2πr.

Here,

(A) A circuit of a racetrack is equal to the sum of the two lengths of a rectangle and the circumference of the circle.

We get:

• = 84.39 * 2 + 73π
• = (168.78 + 73π)m

(B) Let the area of the green space of the track is x.

Then, calculate as follows:

• 168.78 + xπ = 400
• x = (400 - 168.78)/π
• x = 73.64m

So, the inner circle of distance is 73.64 - 73 = 0.64m.

Therefore, the answer to both the subparts using the circumference of the circle is:

• (A) If an athlete runs around the track then the athlete traveled (168.78+73π)m.
• (B) The area of green space on the track is 0.64m².
  

To learn more about the circumference from the given link

brainly.com/question/18571680

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