The centers of two disks with radius 1 are one unit apart. Find the area of the
Question:
The centers of two disks with radius 1 are one unit apart. Find the area of the union of the two disks.
Step by Step Answer:
Let A be the area of the union of the t...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
-
Two circles of radius b intersect as shown in Figure 6 with their centers 2a apart (0 ¤ a ¤ b). Find the area of the region of their overlap. -a
-
The centers of two spheres of radius ( are 2b units apart with b ( (. Find the volume of their intersection in terms of d = a - b.
-
With each A RnÃn we can associate n closed circular disks in the complex plan. The ith disk is centered at aij and has radius Each eigenvalue of A is contained in at least one of the disks. If...
-
Determine the order of growth of the running time of this statement in ThreeSum as a function of the number of integers \(n\) on standard input: int[] a = StdIn. readA11Ints(); Answer: Linear. The...
-
The following compounds can all react as acids. (a) For each compound, show its conjugate base. Show any resonance forms if applicable. (b) Rank the conjugate bases in the order you would predict,...
-
How is market risk defined?
-
Explain several implications of IFRS on financial reporting by health care organizations.
-
1. Trace the path of the medication list and denote possible failure points. Construct a process flowchart of the existing process and create a new chart of an improved process. 2. Was the medication...
-
What do economists mean with the expression: 'the consumer considers product A and product B perfect complements'? Can you name two products that you consider perfect complements? In what proportions...
-
Connie recently provided legal services to the Winterhaven LLC and received a 5 percent interest in the LLC as compensation. Winterhaven currently has $43,000 of accounts payable and no other debt....
-
State the rules for approximating the definite integral with the Midpoint Rule, the Trapezoidal Rule, and Simpson?s Rule. Which would you expect to give the best estimate? How do you approximate the...
-
Define the following improper integrals. (a)? (b)? ?(c)? f(x) dx -00
-
A rocket cruises past a laboratory at 1.00 10 6 m/s in the positive x-direction just as a proton is launched with velocity (in the laboratory frame) v = (1.41 10 6 i + 1.41 10 6 j) m/s. What are...
-
A doctor told a meeting of the Pediatric Academic Societies that a U.S. government survey of 4,600 high school students found that both boys and girls were much more likely to have smoked cigarettes,...
-
A major California newspaper [19] asked its readers the following question: Do you think the English-only law should be enforced in California? Of the 2,674 persons who mailed in responses, 94...
-
A survey found that the average employee at the WD Company had worked for the company for 20 years, suggesting that the average person who takes a job with WD works for the company for 20 years....
-
A New York Times article argued that one reason many students do not graduate from college within 6 years of enrolling is that they choose to not attend the best college they could have [18]. For...
-
Newspaper columnist Ann Landers once asked her readers, If you had it to do over again, would you have children? [26]. Ten thousand people responded, of which 70 percent said no. a. Explain why there...
-
A recent survey points to growing consumer demand for state-of-the-art technology in vehicles. The 2015 KPMG Global Automotive Executive study found that automobile executives believe that consumers...
-
During the month, services performed for customers on account amounted to $7,500 and collections from customers in payment of their accounts totaled $6,000. At the end of the month, the Accounts...
-
Use the reduction formulas to evaluate the following integrals. x 2 e 3 x dx
-
Use the reduction formulas to evaluate the following integrals. x 2 cos 5x dx
-
Use the reduction formulas to evaluate the following integrals. x 3 sin x dx
-
What are the implications of mass incarceration and the criminalization of poverty for social cohesion, economic inequality, and intergenerational cycles of disadvantage?
-
Consider the following. Tis the reflection through the origin in R2: T(x, y) = (-x, y), v = (3, 4). (a) Find the standard matrix A for the linear transformation T. A= (b) Use A to find the image of...
-
Write a function to compare two strings for equality. If they are equal, zero is returned, otherwise the difference in value between the first two non-matching characters.
Study smarter with the SolutionInn App