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3 years ago

A circle has a radius of 3. An arc in this circle has a central angle of 20°.

Mathematics

2 answers:

kati45 [8]3 years ago

8 0

Answer:

Step-by-step explanation:

sladkih [1.3K]3 years ago

4 0

360 degrees in 1 circle

the circumference is same ratio

60/360=1/6

1/6 of circumference is the legnth of the arc

radius=3

c=2pir

c=2pi3

c=6pi

1/6 of 6pi is pi

the arc is pi units long

You might be interested in

Evaluate the following expression: 62 − 7(8 + 6 − 32)

Alex Ar [27]

Answer:

188

Step-by-step explanation:

Step 1: Distribute

62 − 7(8 + 6 − 32)

62 + (-7 * 8) + (-7 * 6) + (-7 * -32)

62 + (-56) + (-42) + (224)

Step 2: Combine the first two numbers

(62 - 56) - 42 + 224

6 - 42 + 224

Step 3: Combine the next two number

(6 - 42) + 224

-36 + 224

Step 4: Combine the last two number

-36 + 224

188

Answer: 188

3 0

3 years ago

Click on the photo to see it.

Lera25 [3.4K]

B is the midpoint

$\\ \sf\longmapsto AB=\dfrac{1}{2}AC$

$\\ \sf\longmapsto 7x-3=\dfrac{5}{2}$

$\\ \sf\longmapsto 5=2(7x-3)$

$\\ \sf\longmapsto 5=14x-6$

$\\ \sf\longmapsto 14x=6+5$

$\\ \sf\longmapsto 14x=11$

$\\ \sf\longmapsto x=\dfrac{11}{14}$

$\\ \sf\longmapsto x=7.8$

6 0

2 years ago

Read 2 more answers

What is the square root of 3/2 in fraction form?

V125BC [204]

The answer is square root 6/2

3 0

3 years ago

What is the measure of an angle whose sine is√3/2 ? 60 45 30

dem82 [27]

ANSWER

The required angle is
$60 \degree$

EXPLANATION

Let the angle whose sine is
$\frac{ \sqrt{3} }{2}$
be
$x \degree$

Then

$\sin(x \degree) = \frac{ \sqrt{3} }{2}$

We take the inverse sign of both sides to obtain,

$x = \sin ^{ - 1} ( \frac{ \sqrt{3} }{2} )$

We use our scientific calculator to evaluate and obtain,

$x = 60 \degree$

8 0

3 years ago

Read 2 more answers

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $65. A season pass costs $400. The skier

Vlad [161]

Let x be the number of days.

Daily pass:
65x + 30x
95x

Season pass:
400 + 30x

95x > 400 + 30x
65x > 400
x > 6.15

The number of days can't be 6.15, so you must round. You can't go down because then the price will be more expensive, so you have to round up.

It would take 7 days until the season pass is less expensive than the daily pass.
----------------------
You can check this by plugging in the x.

95x > 400 + 30x
95(7) > 400 + 30(7)
665 > 400 + 210
665 > 600
The daily pass is more expensive than the season pass.

3 0

3 years ago