All categories

2 years ago

A circle with radius 142.5 has an arc with a 24 degree angle. What is the length of the arc?

Mathematics

2 answers:

MissTica2 years ago

5 0

Answer: 59.690260418206

The result is approximate. Round that value however you need to.

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

Explanation:

For a circle with radius r = 142.5, the full distance around the edge (aka perimeter aka circumference) is found by using the formula below.

C = 2*pi*r

C = 2*pi*142.5

C = 895.353906273091

That value is approximate. I used my calculator's stored value of pi to get the most accuracy possible.

That value of roughly 895 represents the distance around a full circle of that radius, but we only want a 24 degree pizza slice.

In other words, we want 24/360 = 1/15 of the full perimeter

(1/15)*895.353906273091 = 59.690260418206

Troyanec [42]2 years ago

4 0

Answer:

59.69 units

Step-by-step explanation:

TOTAL circumference of this circle = pi * d = pi * 2r = 895.354

now you want 24 degrees of the entire 360 degrees

24/ 360 * 895.354 = 59.69 units

You might be interested in

The amount of snowfall in December was 2 1/3 feet. The amount of snowfall in January was 1/14 feet. How much more snowfall was t

vredina [299]

It is 2.2 that’s the difference

6 0

2 years ago

A pack of folders has a length of 5 inches, a width of 12 inches, and a height of 1 inch. The pack of folders will be shipped in

777dan777 [17]

Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

Verify each statement

A) Each pack of folders has a volume of 60 cubic inches.

The statement is True

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

B) The box has a volume of about 720 cubic inches

The statement is True

Because

The volume of the box is equal to the volume of one pack of folders multiplied by 12

$V=(12)60=720\ in^{3}$

C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches

The statement is False

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}$

$900\ in^{3}\neq 1,200\ in^{3}$

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

The statement is True

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}$

$1,200\ in^{3}= 1,200\ in^{3}$

E) Each pack of folders has a volume of 24 cubic inches.

The statement is False

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

7 0

3 years ago

Select the phrase that best completes the sentence.

muminat

Answer:

No solution

Step-by-step explanation:

3 0

3 years ago

Help me please :))) have a good day also

Ede4ka [16]

1) 2+12a
2) 8-5x
3)12-3z
i think those are the answers :)

8 0

2 years ago

A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow s

ValentinkaMS [17]

The answer is 8 because you have black and tan pants so 2 pairs and then a green, red, white, and yellow shirt sooooo you have 4 choices of shirts to pair with your pants. So 2•4=8

5 0

3 years ago