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marshall27 [118]
3 years ago
13

What’s the diameter of a circle 5in

Mathematics
2 answers:
Igoryamba3 years ago
8 0

diameter

=

5

π

≈

1.59

to 2 dec. places

Explanation:

the circumference (C) of a circle is

∙

x

C

=

π

d

←

d is the diameter

here

C

=

5

⇒

π

d

=

5

divide both sides by

π

π

d

π

=

5

π

⇒

d

=

5

π

≈

1.59

to 2

The diameter is

35

22

.

Explanation:

The diameter of a circle is twice its radius.

We can find the radius of the circle by the equation

circumference

=

2

π

r

Now, just plug it in as

5

=

2

π

r

5

=

2

⋅

(

22

7

)

r

r

=

5

⋅

(

1

2

)

⋅

(

7

22

)

r

=

35

44

Since the diameter is twice the radius,

d

=

35

44

⋅

2

d

=

35

22

Molodets [167]3 years ago
3 0

Answer:

About 1.591 in

Step-by-step explanation:

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Trig///HELPP PLEASE!! i’ve been stuck on this for 30 minutes!!
ddd [48]

Answer: There are two solutions and they are

theta = 135

theta = 225

=============================================================

Explanation:

Recall that x = cos(theta). Since the given cosine value is negative, this indicates x < 0. Theta is somewhere to the left of the y axis, placing it in quadrant 2 or quadrant 3.

It turns out there are two solutions, with one solution per quadrant mentioned above. Use the unit circle to find that the two solutions are:

theta = 135

theta = 225

You're looking for points on the unit circle that have x coordinate equal to x = -sqrt(2)/2. Those two points correspond to the angles of 135 and 225, which are in quadrants 2 and 3 respectively.

--------

I recommend using your calculator to note that

-sqrt(2)/2 = -0.70710678

cos(135) = -0.70710678

cos(225) = -0.70710678

The decimal values are approximate. Make sure your calculator is in degree mode. Because those three results are the same decimal approximation, this indicates that cos(135) = cos(225) = -sqrt(2)/2.

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3 years ago
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