A sector of a circle with radius 8 cm has central angle 4/7. a. Find the area
Question:
a. Find the area of the sector.
b. Set up a proportion of the area of the sector to the total area of the circle, and a proportion of the central angle of the sector to the total central angle measure.
c. Solve your proportion from 13b to show that the formula you used in 13a is correct.
Step by Step Answer:
a b c 12 ...View the full answer
Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke
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 Linear Algebra questions
-
Which has the larger area, an equilateral triangle with side 5 cm or a sector of a circle with radius 5 cm and arc length 5 cm? Give the area of each shape to the nearest 0.1 cm.
-
Find the area of the sector of a circle of radius r and central angle Radius r Central Angle 1. 6 inches /3 radians 2. 12 millimeters /4 radian 3. 2.5 kilometers 225 4. 1.4 miles 330
-
Find the area of the sector of a circle of radius r and central angle . Radius........................... Central Angle 1. 20 inches........................... 1500 2. 7.5 millimeters...
-
Should U.S. national forests become privatized (sold to private owners)? Why or why not?
-
If you believe the U.S. dollar will depreciate more dramatically than do other investors, what will be your stance on investments in U.S. auto producers?
-
Select a product category. Estimate the total demand of that product in your home country. Also calculate the market share for the largest producer.
-
Do you think production or marketing would be most important to Toyota? Support your choice.
-
1. When founder Richard Branson is no longer at the helm (and in the news), do you believe Virgin will be able to continue its forays into radically different brand extensions? What strategies can...
-
Cook's Furniture uses a cloud-based enterprise management system (EMS). It has different functions such as procurement, finance, HR, sales, production, warehouse, etc. Different employees are given...
-
In 2011, 90,000 fires in the United States were started by a lighted tobacco product. The dollar value of the property lost in these fires is staggering. In that same year, fires caused by dropped or...
-
Suppose you are biking down a hill at 24 mi/h. What is the angular speed, in radians per second, of your 27-inch-diameter bicycle wheel?
-
Sitting at your desk, you are approximately 6350 km from the center of Earth. Consider your motion relative to the center of Earth, as Earth rotates on its axis. a. What is your angular speed? b....
-
A water treatment plant was built in the year 2006 at a total cost of $2,000,000. Additional information is given in the accompanying table. a. Calculate a weighted index for water treatment plant...
-
"The initial speed with which a ball is thrown is doubled, with the angle of projection fixed. Is the maximum height to which the ball rises doubled?" Now, let's say you are also allowed to change...
-
Wally Working Co. emiti bonos con una tasa de inters nominal (contratada) de 15%, por un valor ominal de $80,000, con un vencimiento de 5 anios. Cuando emiti los bonos, la tasa de inters del mercado...
-
Using the Central Limit Theorem. In Exercises 5-8, assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 1.2 kg and a...
-
Swain Athletic Gear (SAG) operates six retail outlets in a large Midwest city. One is in the center of the city on Cornwall Street and the others are scattered around the perimeter of the city....
-
Please help Calculating NPV and IRR Businesses use NPV and IRR to determine whether a project will add - value for shareholders. After watching the CFA Level I Corporate Finance video, answer the...
-
Discuss the two phases in which crises are usually divided.
-
What are bounds and what do companies do with them?
-
Scalar Multiplication Determine |kA| in terms of k and |A|?
-
Inversion by Determinants Let A be a square matrix and let A be its cofactor matrix, the matrix obtained from A by replacing each of its elements by its cofactor. Then if |A| ( 0. Use this formula to...
-
Determinants of Elementary Matrices Find the determinants for each of the elementary matrices (Sec. 3.3, Problems 40 and 41) fanned by the elementary row operations on the 3 x 3 identity matrix I,...
-
What are the major characteristics of plant assets? Choose one category of PP&E (land, land improvements, buildings or equipment) and describe the costs that may be capitalized with this asset.
-
An estimated 84 percent of enterprises now use cloud computing solutions involving multiple clouds, whereas less than 10 percent of large organizations employ just a single public cloud. Group of...
-
XYZ inc. was involved in a tax dispute with the national tax authority. The companys legal counsel estimates that there is a 75% likelihood that the company will lose the dispute and that the amount...
Study smarter with the SolutionInn App