Question

practice
driver’s delight has 3 circular go - cart tracks.
track 1 has a radius of 60 feet. track 2 has a
radius of 85 feet. track 3 has a radius of
110 feet. use 3.14 for π and round to the
nearest hundredth.
type the answer in each space provided. use numb
words.
use 3.14 for π and round to the nearest hundredth.
a. compute the circumference of track 1.
approximately □ feet
b. compute the circumference of track 2.
question 2 of 3

Explanation:

Part a: Circumference of Track 1

Step1: Recall the formula for the circumference of a circle.

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius and \( \pi \approx 3.14 \). For Track 1, \( r = 60 \) feet.

Step2: Substitute the values into the formula.

Substitute \( r = 60 \) and \( \pi = 3.14 \) into the formula:
\( C = 2 \times 3.14 \times 60 \)

Step3: Calculate the result.

First, multiply \( 2 \times 3.14 = 6.28 \). Then, multiply \( 6.28 \times 60 = 376.8 \). Since we need to round to the nearest hundredth, and \( 376.8 \) is already to the tenths place, we can write it as \( 376.80 \) (or \( 376.8 \) is also acceptable as it has no further decimal places to round).

Step1: Recall the formula for the circumference of a circle.

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius and \( \pi \approx 3.14 \). For Track 2, \( r = 85 \) feet.

Step2: Substitute the values into the formula.

Substitute \( r = 85 \) and \( \pi = 3.14 \) into the formula:
\( C = 2 \times 3.14 \times 85 \)

Step3: Calculate the result.

First, multiply \( 2 \times 3.14 = 6.28 \). Then, multiply \( 6.28 \times 85 \). Let's compute \( 6 \times 85 = 510 \) and \( 0.28 \times 85 = 23.8 \), so adding them together: \( 510 + 23.8 = 533.8 \). Rounding to the nearest hundredth, it remains \( 533.80 \) (or \( 533.8 \)).

Answer:

376.80 (or 376.8)

Part b: Circumference of Track 2