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2 years ago

A sector of a circle has an arc length of pi cm and a central angle of pi over 6 radians. What is the area of the sector?

Mathematics

1 answer:

liberstina [14]2 years ago

4 0

Answer:

Area of sector is 6pi cm^2

Step-by-step explanation:

Mathematically pi radians is 180 degrees

thus pi/6 radians is 180/6 = 30 degrees

The formula for the length of an arc is;

theta/360 * 2 * pi * r

where theta in this case is 30 degrees

And the arc length is pi

so we have

30/360 * 2 * pi * r = pi

30/360 * 2 * r = 1

60r = 360

r = 360/60

r = 6 cm

Now the area of a sector is;

theta/360 * pi * r^2

30/360 * pi * 36

= 6pi cm^2

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Answer:

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Step-by-step explanation:

The inicial value you have is $30, so this will be the value of y after 0 weeks, that is, x = 0

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3 years ago

Which expression has the same value as the one below?

mihalych1998 [28]

Answer:

Option A

Step-by-step explanation:

22+(-32) is the same thing as 22-32.

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<h3>Let's see if the given options are equal:</h3>

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$22+(-22)+(-10) \\22-22-10\leftarrow \text{Distribute -1 into the Parentheses.} \\0-10\\\boxed {-10}$

Option A's expression has the same value as the expression given.

Option B:

22+(22)+(-10)

$22+22-10\\44-10\\\boxed {34}$

Option B's expression does not have the same value as the expression given.

Option C:

$22+(-22)+(10)\\22-22+10\\0+10\\\boxed {10}$

Option C's expression does not have the same value as the expression given.

Option D:

$22+0+32\\22+32\\\boxed{54}$

Option D's expression does not have the same value as the expression given.

<h3>The correct answer should be A: 22+(-22)+(-10).</h3>

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2 years ago

Read 2 more answers