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Daniel [21]
3 years ago
15

An arc subtends a central angle measuring 2pi/3

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

Answer:

1/3

Step-by-step explanation:

We know that angle subtended by whole circumference is 2\pi.

If r is the radius then Length of whole circumference is 2\pi r

2\pi radian has 2\pi r  length

dividing  both side by 2\pi we have

2\pi /2\pi  = 2\pi r/2\pi  \ circumference

1 radian has r length  

1 radian = r length      equation a

=> since we have to find value of circumference for 2\pi /3 we

multiply both side of equation a with 2\pi /3.

2\pi /3 \radian = r* 2\pi /3 \circumference

therefore, length of required arc is 2\pi r/3

________________________________________________

we have to find how much is this as fraction of total  circumference of circle

fraction of circumference = value of arc length / total length of circumference

fraction of circumference = =>(2\pi r/3) / 2\pi r\\=> 1/3

Thus, the given arc is 1/3 of circumference of circle.

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In how many ways can a
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Answer:

720

Step-by-step explanation:

Using the equation given

\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720

3 0
3 years ago
Help a little eeeeeeeeeee
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0.8 or 4/5
Both are correct, but in different form.

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7 0
3 years ago
Part I: Measuring Parts of a Circle
cluponka [151]

Answer:

case a) The approximate circumference of circle is 5.9\ units and the ratio of circumference to Diameter is \frac{C}{D}=2.95

case b) The approximate circumference of circle is 6\ units and the ratio of circumference to Diameter is \frac{C}{D}=3

case c) The approximate circumference of circle is 6.24\ units and the ratio of circumference to Diameter is \frac{C}{D}=3.12

Step-by-step explanation:

we know that

The approximate circumference of each circle, is equal to the perimeter of each inscribed polygon

case A) the figure is an inscribed pentagon

step 1

Find the approximate circumference of circle

The perimeter of the pentagon is equal to

P=5s

where

s=1.18\ units

substitute

P=5(1.18)=5.9\ units

therefore

The approximate circumference of circle is 5.9\ units

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

D=2r=2(1)=2\ units

The ratio is equal to

\frac{C}{D}=5.9/2=2.95

case B) the figure is an inscribed hexagon

step 1

Find the approximate circumference of circle

The perimeter of the hexagon is equal to

P=6s

where

s=1\ units

substitute

P=6(1)=6\ units

therefore

The approximate circumference of circle is 6\ units

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

D=2r=2(1)=2\ units

The ratio is equal to

\frac{C}{D}=6/2=3

case C) the figure is an inscribed dodecahedron

step 1

Find the approximate circumference of circle

The perimeter of the dodecahedron is equal to

P=12s

where

s=0.52\ units

substitute

P=12(0.52)=6.24\ units

therefore

The approximate circumference of circle is 6.24\ units

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

D=2r=2(1)=2\ units

The ratio is equal to

\frac{C}{D}=6.24/2=3.12

<em>Conclusion</em>

We  know that

The exact value of the ratio \frac{C}{D} is equal to

\frac{\pi D}{D}=\pi

The approximate value of the circumference will be closer to the real one when the number of sides of the inscribed polygon is greater

4 0
3 years ago
A paintball court charges an initial entrance fee plus a fixed price per ball. The variable ppp models the total price (in dolla
DaniilM [7]

Answer:

$5.50

Step-by-step explanation:

The function we are given is

p = 0.80n + 5.50,

where n is the number of balls.

Multiplying this variable by 0.80 means $0.80 will be the cost per ball.  The additional amount added to the variable in the function, 5.50, will be the entrance fee.

7 0
3 years ago
Read 3 more answers
14. You play a video game for 15 m
Natasha2012 [34]

Answer:

11 because 165÷25=11 so yeah

7 0
3 years ago
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