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4 years ago

Find the arc length of a partial circle

Mathematics

2 answers:

slava [35]4 years ago

8 0

Answer:

7.85

Step-by-step explanation:

Solve this by using the formula for arc length with central angle in degrees.

Do this by identifying the formula and plugging in the given values. The formula for arc length is $arc length = 2\pi r (\frac{theta}{360} )$ , where the theta is represented by the central angle and r is the radius

The radius is shown on the circle is 5 and the theta (angle in degrees) is 90, represented by the tiny square in the middle.

Plug it all into the formula. Your equation should now look like this: arc length = 2 (3.14 or $\pi$ ) (5) ( $\frac{90}{360}$ )

Solve for arc length and enter your answer as a decimal or in terms of pi

dedylja [7]4 years ago

3 0

Answer:

23.55 or $\frac{15}{2}$ π

Step-by-step explanation:

The arc is 75% of the full circumference, as the cut away angle is 90º.

To find the arc length, you multiply the ratio of the whole circle that remains by the circumference: $\frac{270}{360}$ ×π×2(5)= $\frac{15}{2}$ π, or 23.55 if you round pi to 3.14.

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yuradex [85]

Answer:

y=2/3-1

Step-by-step explanation:

Two coordinate points are (-3,-3) and (3,1). If you use Y2-Y1/X2-X1, you will find the slope. Then use y=mx+b to find the equation.

More detailed:

1+3/3+3 ** It is + because when there are minus signs it turns to a plus

4/6 Then simplify it

2/3

Now that the slope is found, we need to use y=mx+b

(I used the point (3,1)) 1=2/3(3)+b

1=2+b

-1=b

I hope this is helpful gl on the test! :)

7 0

3 years ago

What type of function does the equation below represent? y = 6 x

tankabanditka [31]

Answer:

Step-by-step explanation:

it represents a linear function

8 0

3 years ago

Which graph represents the polar curve r = 4cos(30)?

stepan [7]

The equation of the polar curve $r = 4\cos(3\theta)$ is an even cosine function.

<h3>Polar curves</h3>

In geometry, polar curves are curves that are represented by the polar coordinates such that they are drawn around a fixed point

The equation of the polar curve is given as:

$r = 4\cos(3\theta)$

To graph the polar curve, we make use of the following representations:

r represents the y-axis
$\theta$ represents the x-axis

Using the above representation, we can graph the polar curve

See attachment for the graph that represents $r = 4\cos(3\theta)$