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sertanlavr [38]
3 years ago
12

A sector has an area of 1/2 π and the central angles of 1/9 π radians. What is the area of the circle?

Mathematics
1 answer:
zhenek [66]3 years ago
6 0

Answer:

Area of circle is 9π

Step-by-step explanation:

The area of sector of a circle is given by A=\frac{1}{2}r^2\theta

Plugging the given values in the formula, we get

\frac{1}{2}\pi=\frac{1}{2}r^2\cdot\frac{1}{9}\pi

Cancel out 1/2 and π from both sides, we are left with

1=r^2\cdot\frac{1}{9}

Cross multiplying, we get

r^2=9\\\\r=3

Therefore, area of circle is given by

A=\pi r^2\\\\A=\pi(3)^2\\\\A=9\pi

Area of circle is 9π

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5 to the third power times 25
puteri [66]
Okay, to do "powers", which is exponents, just multiply the number by itself.

So, 5 to the third power, or 5 cubed, or simply 5³, is equal to 5 x 5 x 5.

<em><u /></em>5*5=25 \\ 25*5=125
We get 125.

Now multiply 125 by 25.
125*5=3125

Our final answer is 3125.
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Step-by-step explanation:

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What is the measurement of ∠BAC and ∠ABC? Explain your process of solving.
Paraphin [41]

Answer:

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Step-by-step explanation:

The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,

<BAC + <ABC = <ACD

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Inverse operations,

9y + 11 = 146

     -11     -11

9y = 135

/9      /9

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3 years ago
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Sindrei [870]
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then the first decimal place also remains unchanged:

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