If the area of a circle is found to be half of its original value after the
Question:
If the area of a circle is found to be half of its original value after the radius is multiplied by a certain factor, what was the factor used?
(a) 1/(2π)
(b) 1/2
(c) √2
(d) 1/√2
(e) 1/4
Step by Step Answer:
College Physics With An Integrated Approach To Forces And Kinematics
ISBN: 978-1260547719
5th Edition
Authors: Alan Giambattista
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 Sciences questions
-
The radius of a circle is measured to be (10.5 0.2) m. Calculate the (a) Area and (b) Circumference of the circle and give the uncertainty in each value.
-
The equation of a circle is xz + yz = Rz, where R is the radius of the circle. Write a program in a script file that first derives the equation (symbolically) of the tangent line to the circle at the...
-
The area of a circle with a radius of 2 inches is less than the area of a square with a side length of 4 inches.
-
The JoFe Computers and Accessory Company produces two types of laptop computer bags. Version A costs $32, takes 4 hours of labor, and sells for $50. Version B costs $38, takes 6 hours of labor, and...
-
Refer to the exchange rates given in the following table: Based on the table provided, answer the following questions: a. Compute the U.S. dollaryen exchange rate E$/¥ and the U.S. dollar...
-
The following data pertain to Colgate Palmolives liquid tilling line during the first 10 months of a particular year. The standard ratio of direct-labor hours to machine hours is 4:1. The standard...
-
The data in Table 19.5 originate from the 1991 edition of the Historical Loss Development Study, published by the Reinsurance Association of American. These data have been widely used to illustrate...
-
Dennis Company is an 80%-owned subsidiary of Kay Industries. Dennis Company issued 10-year, 8% bonds in the amount of $1,000,000 on January 1, 2011. The bonds were issued at face value, and interest...
-
What is the price of a 0.75 year European put option on a dividend-paying stock, where the stock price is $ 57, the strike price is $ 67, and a dividend of $ 0.61 is expected in 0.25 years?
-
A model for the yield Y of an agricultural crop as a function of the nitrogen level N and phosphorus level P in the soil (measured in appropriate units) is Y(N, P) = kNPe -N-P where k is a positive...
-
A study finds that the metabolic rate of mammals is proportional to m 3/4 , where m is total body mass. By what factor does the metabolic rate of a 70 kg human exceed that of a 5.0 kg cat?
-
If the length of a box is reduced to one third of its original value and the width and height are doubled, by what factor has the volume changed? (a) 2/3 (b) 1 (c) 4/3 (d) 3/2 (e) depends on relative...
-
During the first month of operations, May 2017, New Pane Windows Inc. completed the following transactions: May........2.... New Pane received $30,000 cash and issued common shares to shareholders....
-
What about pricing? How might you reconcile the need to keep the drug company profitable with the ethical responsibility to make medications affordable for those in need?
-
Which is a consideration when picking the best location for a company a. proximity to customers. b. proximity to raw materials. c. proximity to skilled labor. d. all of the above.
-
Which firms look best for someone wishing to buy stocks on margin?
-
How do the potential profits of Team Bs drug affect your stance from both financial/business and medical/ethical perspectives?
-
A distinction between Six Sigma and TQM is: a. reducing errors throughout the production process b. improving customer satisfaction c. identifying potential errors. d. obtaining near perfection...
-
(a) If you measure the ship that passes you in Problem 68 to be 24 m long, how long will the observers on Earth measure that ship to be? (b) If there is a rod on your spaceship that you measure to be...
-
r = 0.18 Find the coefficients of determination and non-determination and explain the meaning of each.
-
The graph is of vx versus t for an object moving along the x -axis. How far does the object move between t = 9.0 s and t = 13.0 s? Solve using two methods: a graphical analysis and an algebraic...
-
The graph is of vx versus t for an object moving along the x -axis. What is the average acceleration between t = 5.0 s and t = 9.0 s? Solve using two methods: a graphical analysis and an algebraic...
-
A train, traveling at a constant speed of 22 m/s, comes to an incline with a constant slope. While going up the incline, the train slows down with a constant acceleration of magnitude 1.4 m/s2. (a)...
-
Develop a SWOT analysis of Coles potential business. b. Can Cole be profitable and if so, in what period of time? c. What are the major business assumptions that require verification? d. Does Cole,...
-
The current temperature is 12 oC and the dew point is -29 oC. What is the relative humidity in percentage? Answer to one decimal place. The current temperature is 12 oC and the dew point is -29 oC....
-
The density of the block depends on what material the block is made out of. The table below shows the average densities for 3 different kinds of Earth materials. Using these data, calculate the...
Study smarter with the SolutionInn App