For the following exercises, use to given information to find the length of a circular arc. Round
Question:
For the following exercises, use to given information to find the length of a circular arc. Round to two decimal places.
Find the length of the arc of a circle of radius 10 centimeters subtended by the central angle of 50°.
Step by Step Answer:
for the leng...View the full answer
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mathematics questions
-
Find the length of a circular arc with a radius 12 centimeters subtended by the central angle of 30.
-
Find the length of a circular arc subtended by an angle of /12 rad if the radius of the circle is 36 cm.
-
A cross section in the shape of a circular arc of constant thickness is shown in the figure. Derive the following formula for the distance e from the center of the arc to the shear center S: In which...
-
Explain the concept of recursion in programming and provide an example of a recursive function.
-
A researcher wants to select a sample of 70 full-time employees who work in either the police, fire, or judicial departments of Charleston, South Carolina, by performing stratified sampling. Of those...
-
What is the expression of the law of conservation of mass in fluid motion? If the fluid particles do not have continuity conditions, how to express the conservation of mass?
-
On November 15, 2010, Chandlers Department Store purchased $5,100 of inventory on account from one of its suppliers. The terms were 3/15, n/45, FOB shipping point. On November 18 Chandlers Department...
-
The administrator of elections for the city of Crossville has been asked to perform an activity analysis of its optical scanning center. The optical scanning center reads voter forms into the...
-
Airports have always faced the problem of long waiting lines and waiting times at security gates. Waiting lines can be as long as hundreds of yards and waiting times can sometimes be hours. In their...
-
Item X is a standard item stocked in a companys inventory of component parts. Each year the firm, on a random basis, uses about 2,000 of item X, which costs $25 each. Storage costs, which include...
-
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a...
-
For the following exercises, use the given information to find the lengths of the other two sides of the right triangle. cos B = 3/5, a = 6
-
Using the data in BE22-6 and BE22-10, compute the overhead volume variance. Normal capacity was 25,000 direct labor hours. Data from BE22-10 In October, Derby Company reports 21,000 actual direct...
-
1. Consider a point moving at a constant speed v on a circle of radius r. What is the relation between v, r, and the rotation frequency, f? 2. Show that the centripetal acceleration relation, ac =...
-
A small bead of mass, m, slides freely inside a smooth tube with length 2L. The tube is spun about its center with constant angular speed, \theta\dot. Imagine that with the tube spinning, the bead is...
-
The 2,842-seat performing arts center has three sections-orchestra, mezzanine, and balcony. The mezzanine has one-sixth fewer seats than the orchestra. How many seats are in the balcony if the...
-
You invest $920 at the end of each six months for the next 13 years. What is the value of your investment at the end of 13 years if your investment earns 5.25% compounded semi-annually?
-
A sample of 100 clients of an exercise facility was selected. Let X = the number of days per week that a randomly selected client uses the exercise facility. X Frequency 03 1 13 2 30 3 28 4 11 5 9 6...
-
Metallica Bearings, Inc., is a young start-up company. No dividends will be paid on the stock over the next nine years because the firm needs to plow back its earnings to fuel growth. The company...
-
Explain why each of the following is either a private good or a public good: traffic lights, in line skates, a city park, a chicken salad sandwich, a tennis racket, national defense, a coastal...
-
Christine contributes $100 each month to her 401(k).What will be the value of Christines 401(k) after the 360th deposit (30 years) if the per annum rate of return is assumed to be 12% compounded...
-
Jolene wants to purchase a new home. Suppose that she invests $400 per month into a mutual fund. If the per annum rate of return of the mutual fund is assumed to be 10% compounded monthly, how much...
-
Don contributes $500 at the end of each quarter to a tax-sheltered annuity (TSA).What will the value of the TSA be after the 80th deposit (20 years) if the per annum rate of return is assumed to be...
-
1. Identifield and explain 3 causes of stress and 3 techniques to overcome stress ? 2. examine worksite stress management programmers more likely to be effective.
-
Bright Books is a bookstore chain established 10 years ago in northern Michigan. Bright Books has had great success in Michigan and Ohio and is beginning to expand into other states. Most recently,...
-
Design a synchronous counter using D flip-flops such that the count sequence of the counter follows the digits in . Each state must be 4-bit. Follow the steps below: (i) (ii) (iii) (iv) 137836...
Study smarter with the SolutionInn App