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ivanzaharov [21]
4 years ago
3

In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length

, s?
Circle O is shown. Line segments A O and B O are radii with length r. Angle A O B has a measure of theta. Arc A B has a measure of s.
Mathematics
2 answers:
Nikolay [14]4 years ago
7 0

Answer:

s = r \theta

Step-by-step explanation:

There is a relationship between the central angle of a sector and the length of the arc enclosed by the two radii of the sector.

When the central angle of the sector

\theta

is measured in radian.

Then the relation between this angle and and the radius r, and the arc length , s is

s = r \theta

Troyanec [42]4 years ago
5 0

Answer:

s = Θ · r

Step-by-step explanation:

just took test

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We know that
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i<span>f all three work together
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3 years ago
-3+1+10x= x+4<br> Solve the equation
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Answer:

x = 2/3 or 0.666...

Step-by-step explanation:

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x = 6/9

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7 0
4 years ago
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If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle? A) (x
Andrei [34K]

Answer:

\large\boxed{A.\ (x+6)^2+(y+10)^2=20}

Step-by-step explanation:

The standard form of an equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).

The midpoint of a diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

Substitute:

x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10

We have h = -6 and k = -10.

The radius is the distance between a center and the point on a circumference of a circle.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute (-6, -10) and (-8, -6):

r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}

Finally we have

(x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20

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rosijanka [135]

Answer:

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Step-by-step explanation:

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So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

5 0
3 years ago
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