How to find the diameter with area sector

2 answers:

5 0

If the central angle measures 60 degrees, divide the 360 total degrees in the circle by 60. Multiply this by the measure of the corresponding arc to find the total circumference of the circle. Use the circumference to find the radius, then use the radius to find the area.

kherson [118]3 years ago

4 0

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Find the area and the circumference of the circle. Round your answers to the nearest hundredth.

Alik [6]

Answer:

$area = 200.96 \: {units}^{2} \\ circumfrence = 50.24 \: units$

Step-by-step explanation:

The formula to find the area and circumference of a circle is:

$area = \pi {r}^{2} \\ circumfrence = 2\pi \: r$

*note that pi is 3.14* Therefore the area is:

$formula = \pi {r}^{2} \\ 3.14 \times {8}^{2} = \\ 3.14 \times 64 = 200.96$

Therefore the circumference is:

$formula = \: 2\pi \: r \\ (2)(3.14)(8) = \\ 3.14 \times 16 = 50.24$

3 0

2 years ago

Write an equation parallel to the given line. Write an equation perpendicular to the given line.

choli [55]

Please, post just one question at a time. I am arbitrarily focusing on #24 this time thru.
2x-3
2x - 4y = 3 can easily be solved for y: 2x-3=4y, or y = ---------
4

The slope of this line is m = 2/4, or m = 1/2.

We need the equation of a new line parallel to this one. Use the slope-intercept form of the equation of a straight line: y = mx + b.

Let m = 1/2 and arbitrarily choose y-intercept b = 0. Then we have

y = (1/2)x + 0, or y = (1/2)x.

Want the equation of a line perpendicular to 2x - 4y = 3?

We already know that the slope of this given line is 1/2. The slope of a line perpendicular to this given line is the neg. reciprocal of 1/2, or m = -2.

Again, use the slope-intercept formula y = mx + b:

y = -2x + 0 (my choice of b = 0 is arbitrary; could have chosen some other value for b)

4 0

4 years ago

<img src="https://tex.z-dn.net/?f=y%20%3D%205%28x%20-%201%29%20%7B%20%7D%5E%7B2%7D%20-%205" id="TexFormula1" title="y = 5(x - 1)

Aleks [24]

This is what the given equation looks like when graphed using a graphing calculator.