The figure shows a piece of string tied to a circle with a radius of one unit.
Question:
The figure shows a piece of string tied to a circle with a radius of one unit. The string is just long enough to reach the opposite side of the circle. Find the area that is covered when the string is unwound counterclockwise.
Step by Step Answer:
Focus on the reg...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
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
The figure shows a circle with radius 1 inscribed in the parabola y = x2. Find the center of the circle. y=r 0
-
The figure shows a circle with radius 1 inscribed in the parabola y = x2. Find the center of the circle.
-
In Problems 1318, express the graph shown in blue using interval notation. Also express each as an inequality involving x. -1 0 1 2 3
-
The A & M convenience store in Rock Mont, Illinois, has kept track of customer arrivals during the early morning hours of 1 a.m. to 4 a.m., collecting a sample of 300 hours of data. Below is a table...
-
Tracy Keulen, the sole owner of a small bakery, has been told that the business should have financial statements reported on by an independent Register accountant (RA). Keulen, having some...
-
The excess pressure inside a bubble (discussed in Chapter 1) is known to be dependent on bubble radius and surface tension. After finding the pi terms, determine the variation in excess pressure if...
-
Due to rapid turnover in the accounting department, a number of transactions involving intangible assets were improperly recorded by Wasp Company in 2010. 1. Wasp developed a new manufacturing...
-
HFA has two program departments, one for the treatment of ex - convicts who are drug users and the other for a job training program for ex - convicts. The treatment pro - gram hires 4 0 % of the...
-
(a) Use a graphing utility to graph the curve given by (b) Describe the graph and confirm your result analytically. (c) Discuss the speed at which the curve is traced as t increases from -20 to 20. x...
-
The involute of a circle is described by the endpoint P of a string that is held taut as it is unwound from a spool that does not turn (see figure). Show that a parametric representation of the...
-
Graph the solution set of the system of inequalities. 2y + x -5 y 3 + x x 0 y 0
-
What is meant by repetition program control? Can sequential program control be used in conjunction with repetition program control? (2) How is repetition program control used in this application? (3)...
-
Multiply and simplify: x+8x+12 9 x+6 x+2
-
Ted, a new client, has listened to your description of a participating whole life policy. However, he is unclear as to what "whole life" means and how turning 100 will affect the premium payments....
-
Thinking of different types of group roles (task roles, relationship roles, dysfunctional roles) as well as group roles classification (you can use BelbinTeam Roles or any other classification of...
-
What are the groups purpose or membership, roles. speaker's role within the groups, the norms, the dynamics like how does the groups communicate, how are decisions made & who evaluates the groups...
-
Figure 2.29 gives a time series plot of the average U.S. monthly pay cable TV rate (for premium services) for each year from 1975 to 2005. Figure 2.29 also gives a time series plot of the average...
-
Which of the followingcarbocations is the least stable? CH3CH2 . CH3CHCH3 CH3 I . CH3C0 T CH3 IV. V. CH3 CH3CCH2 CH3
-
Prove the following identities and give the values of x for which they are true. cos (2 sin -1 x) = 1 - 2x 2
-
Find the derivative of the following functions. y = f(x), where f is differentiable and non negative at x.
-
The output of an economic system Q, subject to two inputs, such as labor L and capital K, is often modeled by the Cobb-Douglas production function Q = cL a K b . When a + b = 1, the case is called...
-
I. Expound on the current and future Philippine stock market sentiment. II. Describe the global stock market and popular market participants. III. Cite prominent stocks that are actively/inactively...
-
As a DBA which DBMS you suggest to a newly started Cosmetics company and why. Write answer with proper reference? Q.NO.2. If database base system is working efficiently then what are reasons behind...
-
The following is Alsatia Corporation's contribution format income statement for last month: Sales Less variable expenses Contribution margin Less fixed expenses Net income $1,400,000 900,000 500,000...
Study smarter with the SolutionInn App