![arguellesjavier15](/avatars/2392.jpg)
arguellesjavier15
29.06.2019 •
Mathematics
The diameter of a circle is 8 miles . what is the length of a 180 degree arc
Solved
Show answers
More tips
- F Food and Cooking Discover How to Properly Prepare Dough for Rasstegai...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
Answers on questions: Mathematics
- M Mathematics Identify which of the twelve basic functions listed below fit the description given. y = x, y = x2, y = x3, y = [xl, y = y = et, y = Vä, y = Inx,y= sinx,y = cosx,y = int(x), y = ite...
- M Mathematics NEED ANSWERS NOW Which types of lending institutions are being described here? offer short-term credit at very high interest rates, while typically provide credit for purchasing items...
- M Mathematics Why is the identity element of multiplication so important in fractions...
- B Biology On an evolutionary tree, what is the intersection and common ancestor known as?...
- G Geography When data from the Earth s magnetic field locked inside seafloor rocks became widely understood, most skeptics around the world were convinced that seafloor spreading occurs and that...
- C Chemistry 1. How much heat, in calories, is needed to raise the temperature of 415 grams of water from 25.5°C to 65.2°C? (3 points for set-up: 1 for the answer)...
Ответ:
The formula for solving this problem is 2 pi r x C/360, where pi= 3.14 and r is the radius of a circle. C is the degree of the arc.
Substituting the numbers into the problem, you get:
2(3.14)3 x 180/360= 6(3.14) x 0.5= 9.42 miles.
Step-by-step explanation:
The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:
L / Θ = C / 2π
As circumference C = 2πr,
Decide on the radius of your circle. For example, it can be equal to 15 cm. (You can also input the diameter into the area of a sector calculator instead.)
What will be the angle between the ends of the arc? Let's say it is equal to 45 degrees, or π/4.
Calculate the arc length according to the formula above: L = r * Θ = 15 * π/4 = 11.78 cm.
Calculate the area of a sector: A = r² * Θ / 2 = 15² * π/4 / 2 = 88.36 cm².
You can also use the arc length calculator to find the central angle or the radius of the circle. Simply input any two values into the appropriate boxes and watch it conducting all calculations for you.
L / Θ = 2πr / 2π
L / Θ = r We find out the arc length formula when multiplying this equation by Θ:
L = r * Θ
Hence, the arc length is equal to radius multiplied by the central angle (in radians).
Ответ:
Next, you need to make that into a fraction by putting it over 1: 12/1
Then, you multiply that by your first fraction: 3/4 x 12/1 = 36/4
Finally, simplify 36/4 = 9
Raymond bought 9 rolls.