All categories

3 years ago

A circle has a radius of 6. An arc in this circle has a central angle of 330

Mathematics

2 answers:

Strike441 [17]3 years ago

4 0

Answer: 11 pi

Step-by-step explanation: Found the answer of Khan Academy.

sashaice [31]3 years ago

3 0

Answer: $Arc\ lenght\approx34.55\ units$

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

$Arc\ lenght=2\pi r(\frac{C}{360})$

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.

In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

$r=6\ units\\\\C=330$

Therefore, knowing these values, you can substitute them into the formula:

$Arc\ lenght=2\pi (6\ units)(\frac{330}{360})$

And finally,you must evaluate in order to find the Arc lenght.

You get that this is:

$Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units$

You might be interested in

Graph a parabola whose x-intercepts are at x = -3 and

guajiro [1.7K]

Answer:

Graph one point at (-3,0) and (1,-4) and make sure it is open

Step-by-step explanation:

Hello

4 0

3 years ago

Which scale factors produce a contraction under a dilation of the original image? Select each correct answer. −6 −0.5 0.5 6

Step2247 [10]

A contraction would make the image smaller.

A negative number reflects the image and changes the size based on the number.

To make an image smaller the factor needs to be less than 1

so -0.5 and 0.5 would make the image smaller since 0.5 is less than 1.

7 0

3 years ago

Read 2 more answers

Otto invests $1,000 at age 20. Otto wants theinvestment to be worth $4,000 by age 30. Ifinterest is compounded continuously, wha

AveGali [126]

$r\approx0.139$

1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:

$\begin{gathered} A=Pe^{rt} \\ \end{gathered}$

2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:

$\begin{gathered} 4000=1000e^{\mleft\{10r\mright\}} \\ \frac{4000}{1000}=\frac{1000e^{10r}}{1000} \\ 4=e^{10r} \\ \ln (4)=\ln (e)^{10r} \\ 10r=\ln (4) \\ r=\frac{\ln (4)}{10} \\ r=0.1386 \end{gathered}$

3) Thus the rate Otto needs is

$r=0.1386\approx0.139$

Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).

Or 13.9%

8 0

1 year ago

Which expression is equivalent to 2(3g - 4) - (8g + 3)?

kolbaska11 [484]

Answer:

Step-by-step explanation:

6 0

3 years ago

What is the answer to 66- = R2

mars1129 [50]

Answer:

R=-33

Step-by-step explanation:

6 0

4 years ago