In problem, A denotes the area of the sector of a circle of radius r formed by
Question:
In problem, A denotes the area of the sector of a circle of radius r formed by the central angle θ. Find the missing quantity. Round answers to three decimal places.
r = 10 meters, θ = 1/2 radian, A = ?
Step by Step Answer:
r 10 mete...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 denotes the area of the sector of a circle of radius r formed by the central angle . Find the missing quantity. Round answers to three decimal places. r = 6 feet, = 2 radians, A = ?
-
Prove that the area of a sector of a circle of radius r associated with a central angle (measured in radians) is A = 1/2 r 2 .
-
Unless otherwise specified, round all your answers to three decimal places. 1. Beer: In this example we will use a dataset that has information on a random sample of 82 different beers. We have the...
-
A solid cubical block of side length 0.6 m is suspended from a spring balance. When the block is in water, the spring balance reads 80% of the reading when the block is in air. Determine the density...
-
Consider the fictitious good Derp. The demand for Derp is Q = 1200 - 2P. Suppose the supply of Derp is given by Q = -600 +2P. Suppose a per unit excise tax of $50 per Derp is levied on the consumers....
-
The unadjusted trial balance of Anniston Air Purification System at December 31, 2018, and the data needed for the adjustments follow. Adjustment data at December 31 follow: a. On December 15,...
-
What is the structure of a UC Description? What is the optimal length of a UC Description? Paragraph? Pages?
-
Adam Jones, the purchasing manager for ACME Corporation, is under suspicion for committing fraud. His superiors believe he is accepting kickbacks and bribes from various vendors. As the company's...
-
Jackie's Dance Studio created a $220 imprest petty cash fund. During the month, the fund custodian authorized and signed petty cash tickets as follows: Petty Cash Ticket No. Item Account Debited...
-
In e-mails writers sometimes use abbreviations such as FYI ("for your information") and ASAP ("as soon as possible"). Other writers sometimes use LOL ("laughing out loud"), 4 u ("for you"), and gr8...
-
In problem, s denotes the length of the arc of a circle of radius r subtended by the central angle . Find the missing quantity. Round answers to three decimal places. r = 2 inches, = 30, s = ?
-
Find the amplitude, period, and phase shift of function. Graph function. Show at least two periods. -cos
-
Consider an economy that uses labor and capital to produce two goods, beer (x) and peanuts (y), subject to technologies that exhibit constant returns to scale. The marginal cost of a 12-ounce can of...
-
Moes operates as two separate divisions - General Restaurant and Catering. These two divisions share the use of three support departments (account, janitorial and HR). This year, the accounting...
-
Lays Potato Chips is examining their Wavy Lays chip line. They began the year expecting to produce 500,000 bags of potato chips. They projected that each bag would require 3 pounds of potatoes and...
-
The diagonal braces in a fire tower are 13 ft long and span a horizontal distance of 12 ft. How high does each brace reach vertically
-
Explain which part of the following exponential equation indicates that it is a model of exponential decay, and how you can tell A (t) = 220(0.68)'
-
3. Huffman coding (a) Construct a Huffman Tree for the following phrase: THE NEXT WEEKEND You must show every intermediate step of your construction in order to receive full credit. (b) Use your...
-
The average salary for graduates entering the actuarial field is $63,000. If the salaries are normally distributed with a standard deviation of $5000, find the probability that a. An individual...
-
(8%) Problem 6: A student attaches a f= 3.5 kHz oscillator to one end of a metal rail of length L = 25 m. The student turns on the oscillator and uses a piezoelectric gauge at the other end to...
-
Consider the circle (x 2) 2 + y 2 = 1 and the ellipse with vertices at (2, 0) and (6, 0) and one focus at (4 + 3, 0). Find the points of intersection of the circle and the ellipse.
-
Problems 85 94. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus....
-
A rectangle is inscribed in an ellipse with major axis of length 14 meters and minor axis of length 4 meters. Find the maximum area of a rectangle inscribed in the ellipse. Round your answer to two...
-
6 XTL Company manufactures tables and has two divisions, the Production Division and the Assembly Division. The Production Division manufactures tables for the Assembly Division, which completes the...
-
UMPI Corporation manufactures and sells mini robots, a seasonal product that has peak sales in the 3rd quarter. The following information is related to the operations for Year 2 (the upcoming year)...
-
Please insert answer in the highlighted area. Please also include the cell formula in the explanation for better understanding. TranscribedText: Start 1 IN 5 6 7 8 TV Key Assumptions Construction...
Study smarter with the SolutionInn App