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Nataly [62]
3 years ago
11

A circle with radius 6 has a sector with a central angle of 48 what is the area of the sector

Mathematics
2 answers:
inn [45]3 years ago
5 0

Answer:

≈ 15.08 units²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \frac{48}{360} ( r is the radius )

   = π × 6² × \frac{48}{360}

   = 36π ×\frac{48}{360} = π × \frac{48}{10} = \frac{48\pi }{10} ≈ 15.08

Reil [10]3 years ago
3 0

Answer:

24/5 pi

Step-by-step explanation:

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h=456/24
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3 years ago
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Please help! :)
Volgvan

Answer:

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Step-by-step explanation:

Given:

Area of Shaded part = 9 π square feet

To Find :

Area of Circle = ?

Solution:

90 degree center angle is equivalent to an area of 9 Π  square feet

So, 360 degree center is equivalent to area A which is the area of the complete circle.

So the Ratio will be

\dfrac{90}{9\pi} =\dfrac{360}{A}

Setting the given statements in proportion:

\dfrac{90}{9\pi} =\dfrac{360}{A}

On solving we get the required

\dfrac{9\pi}{A} =\dfrac{90}{360}

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Alternate Method:

Shaded part is of 90°

Area of Shaded part = 9 π square feet

And Full Circle is of 360° that is 4 sector of 90°

\textrm{Area of Circle}=4\times (Shaded\ part)

\textrm{Area of Circle}=4\times 9\pi

\textrm{Area of Circle}=36\pi

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

On solving this we get

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8 0
3 years ago
Karl bought 3 and 1/2 gallons of milk that cost $2.70 per gallon.
Vesna [10]

Answer:

9.45

Step-by-step explanation:

3.5 x 2.7 = 9.45

5 0
3 years ago
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How do you solve 10(z-2)=1+4
tamaranim1 [39]

I'm assuming you want us to solve for the unknown variable z

10(z-2)=1+4

Combine like terms on the right side

10(z-2)=5

Use the distributive property on the left side

10z-20=5

Add both sides by 20 to cancel out the "-20" on the left side

10z=25

Divide both sides by 10

z=2.5

That is the value of the known variable, z, in this equation. Let me know if you need any clarifications, thanks!

~ Padoru

6 0
3 years ago
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Minutes played points scored
stepan [7]
I think it's A. Sorry if I get it wrong.
7 0
4 years ago
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