Show that a circle of radius has curvature 1/.
Question:
Show that a circle of radius α has curvature 1/α.
Step by Step Answer:
that a circle of radius has curvature 1 and thus the curvat...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
-
A circle of radius I? is placed in the first quadrant as shown in Figure 18. What is the radius r of the largest circle that can be placed between the original circle and the origin? R
-
A circle of radius 798.25 ft, centered at point A, intersects another circle of radius 1253.64 ft, centered at point B. The X and Y coordinates (in feet) of A are 3548.53 and 2836.49, respectively,...
-
A particle A moves along a circle of radius R = 50 cm so that its radius vector r relative to the point O (Fig. 1.5) rotates with the constant angular velocity ω = 0.40 rad /s. Find the modulus...
-
Identify a true statement about the rational and emotional aspects of leadership. Multiple choice question. Leadership is not about the rational or emotional sides of human experience Leadership...
-
Suppose that a regular light bulb, a long-life light bulb, and an extra-long-life light bulb are being tested. The lifetime X1 of the regular bulb has the exponential distribution with mean , the...
-
Give informal descriptions and state diagrams of pushdown automata for the languages in Exercise 2.4. Exercise 2.4. Answer each part for the following context-free grammar G. R XRX | S S aT b | bT...
-
Consider the following cash flow profile and assume MARR is 10 percent/year. a. Determine the ERR for this project. b. Is this project economically attractive? EOY 0 2 3 4 5 6 NCF -$100 $15 $15 $15...
-
Water Planet is considering purchasing a water park in Atlanta, Georgia, for $1,870,000. The new facility will generate annual net cash inflows of $460,000 for eight years. Engineers estimate that...
-
8. Let's assume that firm T faces a downward-sloping (straight-line) demand curve. (a) Fill in the columns for TR and MR in the table below. (Note that the figures for MR are entered between 0 and 1,...
-
BRIGADIER CONSTRUCTIONS, INC. had been working on three different projects during 2017, which had been started in different years. The following data pertain to the jobs at the end of 2017. The...
-
Find the speed of an artificial Earth satellite traveling at an altitude of 80 miles above Earths surface, where g = 31 ft/sec 2 . (The radius of the Earth is 3960 miles.)
-
Using (22*), show that for a curve y = f(x),
-
a. This course is much more time consuming than I expected. b. This course is much more time consuming then I expected. Choose the sentence that is expressed more effectively.
-
Data analysis and commentary Using tables, set out and explain the results of your numeric data analysis, including summary of exploratory data and supporting commentary. Explain how your results...
-
A photon of frequency 7 . 2 x 1 0 1 5 Hz is incident upon a metal whose threshold frequency is 8 . 9 x 1 0 14 Hz . What is the speed of the photoelectron?
-
The CEO's compensation contract includes a provision for a bonus of 15% of income before the bonus but after income taxes (30% rate). Income before bonus and income tax is $1.2 million for the...
-
Q8: resample the Order_Date into quarters and determine the quarter with the highest profitability from 2014 to 2017. (2 points) hint: check resample() documentation and resample the date to 3 months...
-
2. Develop a temperature converter GUI JavaFX application that consists of two labels and two text fields. Typing a temperature into the Celsius field and then pressing the "Enter" key causes the...
-
Consider an ideal gas refrigeration cycle using helium as the working fluid. Helium enters the compressor at 100 kPa and 17oC and compressed to 400 kPa. Helium is then cooled to 20oC before it enters...
-
Which of the following is FALSE regarding the purchasing power parity (PPP). a. The PPP is a manifestation of the law of one price b. The PPP says that a country with a higher expected inflation can...
-
In problems, find all values of c that satisfy the Mean Value Theorem for integrals on the given interval. (a) f(x) = (x + 1); [0,3] (b) f(x) = x2; [-1,1] (c) f(x) = 1 - x2; [-4,3] (d) f(x) = x(1 -...
-
Use a graphing calculator to plot the graph of the integrand in Problems. Then estimate the integral as suggested in the margin note accompanying Theorem B. (a) (b) (c) (d) (5 sin x) dx 3 + sin(x)dx
-
Figure 11 shows temperature T as a function of time t (measured in hours past midnight) for one day in St. Louis, Missouri. (a) Approximate the average temperature for the day. (b) Must there be a...
-
Walsh Corporation uses a job-order costing system with a single plantwide predetermined overhead rate based on direct labor-hours. The company based its predetermined overhead rate for the current...
-
The manufacturer of a product that has a variable cost of $1.80 per unit and total fixed cost of $142,000 wants to determine the level of output necessary to avoid losses. a. What level of sales is...
-
Write a summary of this article? https://www.usnews.com/education/best-colleges/articles/what-you-can-do-with-a-communications-degree
Study smarter with the SolutionInn App