1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Contact [7]
3 years ago
15

2. An arc is a smooth piece of a circle. A major arc of a circle is an arc that is

Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer: Major arc = ∅/360 (2πr)

Step-by-step explanation: Just as the question stated, an arc is a smooth piece of a circle. Simply put, it is a portion of the entire circumference. The arc is usually bounded by an angle at the center of the circle (very similar to a slice of pizza). Using a slice of pizza as a classic example, the outer edge where the slice is pulled out from is the length of the arc, while the angle at the tip which is pulled out from the center is the angle that encloses the arc.

Just as a slice of pizza is a minor part of the whole shape, in the same way an arc is a minor part of a circle. However, to calculate the length of the arc, the angle at the center which encloses the arc must be given and the radius of the circle must also be given.

If an arc runs around a circle and turns out to be longer than half of the entire length of the circumference, it is labelled as a major arc. Basically, the formula for calculating the length of an arc is the same for either a minor or a major arc.

Therefore, to calculate the length of an arc, you would need to find the proportion of the circle represented by the arc and that can be calculated by dividing the angle binding the arc by 360 (size of an angle at a point equals 360 degrees). So, if the angle that encloses the arc is 60 degrees for example, then the portion of the circle taken by the arc is given as

60/360

This means the length of the arc (which is a portion of the entire circumference) can be determined by multiplying the portion of the  central angle by the entire length of the circumference.

Therefore you can calculate the measure of major arc ABC by applying the formula

Length of an arc = ∅/360 (2πr)

Where ∅ is the angle enclosing the arc at the center of the circle

r is the radius of the circle and

π is usually given as 3.14 (or 22/7)

Please note that for a major arc, the value of ∅ would be greater than 180°. The measurement used in the explanation above is just an example for the sake of ease of explanation.

And where the only the angle measure of the minor arc is given, the angle measure of the major arc can be derived as 360 - angle of minor arc. That is;

Angle of major arc = 360 - angle of minor arc

You might be interested in
8x-3x=5x^2 show work
eimsori [14]

8x-3x=5x^2\\5x=5x^2\\x=x^2\\x=1

6 0
3 years ago
Read 2 more answers
A spinner with 4 sections labeled a through d is spun and a coin flipped. What is the sample for the two events
ValentinkaMS [17]

Answer:

(HA, HB, HC, HD, TA, TB, TC, TD)

Step-by-step explanation:

Spinner : (a, b, c. d)

Coin : (H, T)

Sample space :

____ A _____ B ______ C ______ D

H __HA ____ HB _____ HC _____ HD

_

T__TA _____TB ______ TC _____ TD

Sample space : (HA, HB, HC, HD, TA, TB, TC, TD)

7 0
2 years ago
What is 8 9/25 in percent
Ber [7]
8 9/ 25 = 8 36/100
8 36/100 = 8.36 = 836%
836 is the answer
8 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (5, 5) and (1, 0),
Ludmilka [50]

Answer:

Slope is 5/4.

Step-by-step explanation:

The slope of two points can be expressed as \displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1} where m represents the slope,

Let (5,5) be (x1,y1) and (1,0) be (x2,y2). Thus:

\displaystyle \large{m=\frac{0-5}{1-5}=\frac{-5}{-4}=\frac{5}{4}}

You can also consider both points other way around. We can let (1,0) be (x1,y1) and (5,5) be (x2,y2) and therefore:

\displaystyle \large{m=\frac{5-0}{5-1}=\frac{5}{4}}

Therefore, the slope is 5/4.

3 0
2 years ago
Darnel has pulled 4 brown marbles and 10 other marbles from a large bag. Based on experimental probability, how many of the next
saw5 [17]

Answer:

  • 8 brown marbles

Step-by-step explanation:

Daniel has pulled 4 brown out of 14.

The number of marbles doubled, so the number of brown is expected to double:

  • 4*(28/14) = 4*2 = 8
7 0
2 years ago
Other questions:
  • Solve GHI. Round the answer to the nearest hundredth.
    11·1 answer
  • Evaluate. 4.3 + 2.75 A. 2.78 B. 3.18 C. 7.05 D. 7.5
    6·1 answer
  • Somebody help me!!! <br> What is the area of the rectangle in the coordinate plane?
    10·1 answer
  • It is known that 10% of the calculators shipped from a particular factory are defective. What is the probability that exactly th
    5·1 answer
  • What is the y in 14-6y=44
    6·2 answers
  • spiral Review Alumna. 3. Ms. Davis traveled 372,645 year on business. What is the value of 6 in F...
    9·2 answers
  • A small swimming pool has a circumference of 3π feet. Select the true statement about the pool.
    6·1 answer
  • Help me please!!!!!!!! free brainliest.
    9·2 answers
  • Multiply 3x3yand 4x3<br>Here,​
    12·1 answer
  • 2 of 6
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!