Find the equation of the circle with center (2, 4): (a) With radius r = 3. (b)
Question:
(a) With radius r = 3.
(b) That passes through (1,−1).
Step by Step Answer:
a The equation of the indicated circle is x 2 ...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 Calculus questions
-
Find the equation of the circle with diameter AB if A = (2, 0) and B = (10, 4).
-
Find the equation of the circle x2 + y2 + Dx + Ey + F = 0 that passes through the points. To verify your result, use a graphing utility to plot the points and graph the circle. (2, 1) 1 2 3 4 (5, 2)...
-
Find the equation of the circle that passes through the four intersection points of the ellipses x2/16 + y2/9 = 1 and x2/9 + y2/16 = 1.
-
In the circuit shown in Fig. 19-69, the 33- resistor dissipates 0.50W. What is the battery voltage? 68 52 33 75
-
The controller of Olaf Corporation wants to establish a minimum rate of return and would like to use a weighted-average cost of capital. Current data about the corporations financing structure are as...
-
Payback period, accounting rate of return, net present value , and internal rate of return are common methods to evaluate capital investment opportunities. Assume that your manager asks you to...
-
In a single stage steam turbine saturated steam at 10 bar is supplied through a convergent divergent steam nozzle of \(20^{\circ}\) angle. The mean blade speed is \(400 \mathrm{~m} / \mathrm{s}\)....
-
The stockholders equity accounts of Holt Inc., at January 1, 2014, are as follows. Preferred Stock, $100 par, 7% .............. $600,000 Common Stock , $10 par ...............900,000 Paid-in Capital...
-
A rigid container contains an ideal gas 40C which is stirred by a blade. The blade produces 200kJ of work. The temperature remains constant thanks to a heat exchange with the surroundings which are...
-
Wu Manufacturing produces two keyboards, one for laptop computers and the other for desktop computers. The production process is automated, and the company has found activity-based costing useful in...
-
The text states: if the decimal expansions of numbers a and b agree to k places, then | a - b | 10k. Show that the converse is false: For all k there are numbers a and b whose decimal expansions do...
-
Determine the domain and range of the function f : {r, s, t , u} {A,B,C,D,E} defined by f (r) = A, f (s) = B, f (t) = B, f (u) = E.
-
What is Moores Wall?
-
When a sound wave travels directly toward a hard wall, the incoming and reflected waves can combine to produce a standing wave. There is an antinode right at the wall, just as at the end of a closed...
-
The data file csi contains the Consumer Sentiment Index (CSI) produced by the University of Michigan for the sample period 1978M1-2006M12. a. Perform all three Dickey-Fuller tests. Are the results...
-
An investment has the following cash flow series where interest is 5 percent: a. Determine the present worth of the series. b. Determine the future worth of the series at the end of year 8. c. Find...
-
The data file var contains 100 observations on two generated series of data, \(w\) and \(z\). The variables are nonstationary but not cointegrated. Estimate a VAR model of changes in the variables....
-
Consider the following cash flow profile: Using a gradient series factor, determine the present worth equivalent for the cash flow series using an annual compound interest rate of a. 6 percent. b. 7...
-
What types of bases for dividing partnership net income or net loss are available?
-
In Problem 8.43, determine the smallest value of for which the rod will not fall out of the pipe. IA -3 in.-
-
A machinist is required to manufacture a circular metal disk with area 1000 cm2. (a) What radius produces such a disk? (b) If the machinist is allowed an error tolerance of 5 cm2 in the area of the...
-
(a) Find a number such that if |x -2| < , then |4x - 8 < , where = 0.01. (b) Repeat part (a) with = 0.01.
-
Prove the statement using the , definition of a limit and illustrate with a diagram like Figure 9. lim
-
Speculate sales : Speculate on the projected sales. Justify your product or service by the numbers; discuss your projected revenue gain. Note: it MUST have an ROI that justifies the project for...
-
8.6 In Figure P8.6 the experimental unit step response of a process system is shown. (a) What is the transfer function that can be used to best describe the system dynamics among the following. 1 (1)...
-
An 84 year old female arrives to the ER today with her son with a complaint of new onset of confusion. What are your differential diagnoses for a patient with new altered mental status? Go through...
Study smarter with the SolutionInn App