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Evgesh-ka [11]
3 years ago
9

In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction

measure of angle Z Y X Over 360 degrees EndFraction (pi r squared).
Circle Y is shown. Line segments X Y and Z Y are radii. Sector X Y Z is shaded.

Which best explains the formula?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
7 0

<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2

m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle

360^\circ =$Total Angle

Therefore, the formula is:

\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}

Therefore, the formula is best explained by Option A.

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erma4kov [3.2K]

Answer:

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6 0
3 years ago
OK SO HERES THE PROBLEM. MY BRAIN HURTS. PLZZZ help me with this math problem
jeka57 [31]

Oh Foxy, Foxy, how totally debilitated you must be !  Try to relax.  Nobody
enjoys a painful brain, and believe me, this problem is not worth it.

Let me put it to you this way:  What if the problem said . . .

-- Demarcus has $8 more than his sister.
-- His sister has $4.
-- How much money ' M ' does Demarcus have ?

If your brain didn't hurt, you could quickly solve this right in there.
You would know that Demarcus' money ' M ' = 8 + 4 .

That's <em>almost </em>exactly what the problem <em>does</em> say. 
Except it doesn't say he has "$8 more than his sister",
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So you know that ' M ' is not exactly = 8 + 4, but that's the <u>least</u> it could be.
The actual amount of ' M ' is <u>more</u> than that.

Surely you can handle it from here, even with half of your brain
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Take a good hard look at ' A ', and then go lie down.


7 0
2 years ago
Point K is on line segment JL. Given JK = 2x – 2, KL
Scorpion4ik [409]

Answer:

KL = 10

Step-by-step explanation:

JK + KL = JL

2x – 2 + x – 9 =  2x + 8

Combine like terms

3x -11 = 2x+8

Subtract 2x from each side

3x-2x -11 = 2x+8-2x

x-11 = 8

Add 11 to each side

x-11+11 = 8+11

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KL = x – 9

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     = 10

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6 0
3 years ago
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Delvig [45]

Answer:

C. 256 in2

Step-by-step explanation:

8 0
2 years ago
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