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,...
-
deal with the mechanics of control accounts;
-
Reproduce Table 3.2. (In Table 3.2 the stock position is rounded to the nearest 100 shares.) Calculate the gamma and theta of the position each week. Calculate the change in the value of the...
-
JWG Company publishes Creative Crosswords. Last year the book of puzzles sold for $10 with variable operating cost per book of $8 and fixed operating costs of $40,000. How many books must JWG sell...
-
regions. The Totuwing normation pertains to the company stirst year or operauons in when it provuceu 49,000 units and sold 44,000 units. Variable costs per unit: Manufacturing: Direct materials...
-
As the manager of Margarita Mexican Restaurant, you must deal with a variety of business transactions. Provide an explanation for the following transactions: a. Debit Equipment and credit Cash. b....
-
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
-
Andrea Riley retires from the partnership of Jaggard, Pester, and Riley. She receives $85,000 of partnership assets in settlement of her capital balance of $81,000. Assuming that the income-sharing...
-
Compute the terminal speed of a 3-mm-diameter spherical raindrop in standard air.
-
The head on \(\mathrm{a} 90^{\circ} \mathrm{V}\)-notch weir is \(1.5 \mathrm{ft}\). Determine the discharge.
-
Consider Figure 10.77 for the case where there are three RC loops with the values R 1 = R 3 = 10 4 , R 2 = 5 104 , C 1 = C 3 = 10 -6 F, and C 2 = 4 10 -6 F. a. Develop a subsystem block for one RC...
-
If the head lost in 30 -m-diameter of \(75-\mathrm{mm}\)-diameter pipe is \(7.6 \mathrm{~m}\) for a given flow rate of water, what is the total drag force exerted by the water on this length of pipe?
-
A tank is filled with oil whose density is \(ho=850 \mathrm{~kg} / \mathrm{m}^{3}\). If the volume of the tank is \(V=2 \mathrm{~m}^{3}\), determine the amount of mass \(m\) in the tank. Oil V=2m p =...
-
What are the four questions a good planning system must answer?
-
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
-
Penske Ltd has a standard deviation of returns of 18% and a correlation with the market portfolio of 0.8. The market portfolios expected return is 14%, its standard deviation of returns is 12%, and...
-
In an insurance policy identification of the named insured is important in terms of determining who is the insured. In the body of the policy the names insured oftentimes is referred to as "you"....
-
During the year Salaries payable decreased by $6,000. If Salary expense amounted to $160,000 for the year, the cash paid to employees is: Select one: a. $160,000. b. $172,000. c. $166,000. d....
Study smarter with the SolutionInn App