Mathematics: What is the radius of a circle that has a central angle of 12 radians and an arc length of 72 feet?

What is the radius of a circle that has a central

Ответ:

bcox32314

14.03.2022

!2 radians correspond to $\frac{12}{2\pi}$ revolutions.
Circumference is the arc length of one revolution, given by:
$\frac{72}{\frac{12}{2\pi}}=12\pi$
$circumference=2\pi r$
$2\pi r=12\pi$
$r=\frac{12\pi}{2\pi}=6$
The answer is: the radius of the circle is 6 feet.

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Ответ:

Student005

16.03.2021

Mathematics

Step-by-step explanation:

Estimated distance = 80 miles

Actual distance covered = 75.5 miles

We need to find the percent error of the cyclist's estimate. Its formula is given by :

$\%=\dfrac{|\text{actual value-estimated value}|}{\text{actual value}}\times 100$

Put all the values,

$\%=\dfrac{80-75.5}{75.5}\times 100\\\\=5.96\%$

= 6%

So, the percentage error is 6%.

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What is the radius of a circle that has a central angle of 12 radians and an arc length of 72 feet?

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