What is the circumference of a circle with a diameter of 4.5 miles? Estimate the circumference to the hundredths place using 3.14 for π
.(1 point)
Responses
63.59 miles
63.59 miles
7.07 miles
7.07 miles
14.2 miles
14.2 miles
14.13 miles
The correct answer is 14.13 miles.
To convert the recurring decimal 0.72¯¯¯¯¯ to a rational number in simplest form, we can use the property that if we multiply the repeating decimal by a power of 10 to eliminate the repeating part, we can subtract the original decimal from this new number to cancel out the repeating part.
Let's represent 0.72¯¯¯¯¯ as x:
x = 0.72¯¯¯¯¯
To eliminate the repeating part, we multiply both sides of the equation by 100 (since there are two decimal places in 0.72¯¯¯¯¯):
100x = 72.72¯¯¯¯¯
Next, we subtract the original equation from the new equation:
100x - x = 72.72¯¯¯¯¯ - 0.72¯¯¯¯¯
99x = 72
Now, we divide both sides of the equation by 99 to solve for x:
x = 72/99
The fraction 72/99 can be simplified further by finding the greatest common divisor (GCD) of 72 and 99, which is 9. Dividing both numerator and denominator by 9, we get:
x = 8/11
Therefore, the rational number equivalent of 0.72¯¯¯¯¯ in simplest form is 8/11.
Rest in peace, Ms. Sue. She will forever live on as a legend at jishka.
WHAT
this comment section is legendary
Convert 0.72¯¯¯¯¯ to a rational number in simplest form
Ms. Sue can you solve this? I don't have the energy today LOL
Well, this bot is right. But I feel like this is missing one key aspe
And she died again
To find the circumference of a circle, you can use the formula:
Circumference = π * Diameter
Given that the diameter of the circle is 4.5 miles, we can substitute this value into the formula:
Circumference = 3.14 * 4.5
Multiplying 3.14 by 4.5 gives us:
Circumference = 14.13 miles
Therefore, the estimated circumference of the circle is 14.13 miles to the hundredths place.