Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle
Question:
Step by Step Answer:
x rx p2 1 X x The area of the triangle is Ax 21 r x ...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
-
A circle of radius r is inscribed in a square. See the figure. (a) Express the area A of the square as a function of the radius r of the circle. (b) Express the perimeter p of the square as a...
-
A rectangle is inscribed in a circle of radius 2. See the figure. Let P = (x, y) be the point in quadrant I that is a vertex of the rectangle and is on the circle. (a) Express the area A of the...
-
A particle A moves along a circle of radius R = 50 cm so that its radius vector r relative to the point O (Fig. 1.5) rotates with the constant angular velocity ω = 0.40 rad /s. Find the modulus...
-
Randi Corp. is considering the replacement of some machinery that has zero book value and a current market value of $3,700. One possible alternative is to invest in new machinery that costs $30,900....
-
Compare and contrast RAND's Six Steps (2005) and Leppitt's Integrated Model (2006). Be sure to include an explanation of when an organization would prefer to use one model over the other and the...
-
In order to expand its operations, Barton Corp. raised $5 million in a public offering of common stock , and also negotiated a $2 million loan from First National Bank. In connection with this...
-
M_Limited has an authorised share capital of 1,500,000 divided into 1,500,000 ordinary shares of 1 each. The issued share capital at 31 March 2007 was 500,000 which was fully paid, and had been...
-
On June 30, 2009, Mischa Auer Company issued $4,000,000 face value of 13%, 20-year bonds at $4,300,920, a yield of 12%. Auer uses the effective interest method to amortize bond premium or discount....
-
Budget 1-3 pls. B C D E F G Thunder Creek Company expects sales of 20,000 units in January 2024, 26,000 units in February, 32,000 units in March, 36,000 in April, and 38,000 in May. The sales price...
-
Akio consumes two goods, books and sweaters. His income is $24, the price of a sweater is $4, and the price of a book is $2. a. Suppose Akios parents give him $8 for his birthday. Draw Akios budget...
-
Find the dimensions of the rectangle of largest area that has its base on the -axis and its other two vertices above the axis and lying on the parabola y = 8 x2.
-
Find the area of the largest rectangle that can be inscribed in a right triangle with legs of lengths 3 cm and 4 cm if two sides of the rectangle lie along the legs.
-
Explain how to price managerial and professional jobs.
-
Iguana, Incorporated, manufactures bamboo picture frames that sell for $25 each. Each frame requires 4 linear feet of bamboo, which costs $2.00 per foot. Each frame takes approximately 30 minutes to...
-
b) Showing all supporting work, solve the equation 2x3 -5x-46x +24=0, given that x=6 is a zero.
-
Could you elaborate on the architectural differences between OLTP (Online Transaction Processing) and OLAP (Online Analytical Processing) database systems, including their respective design...
-
The following code is supposed to display the positive even numbers less than 12. That is, it will output the numbers 2, 4, 6, 8 and 10. However, there is a logical error in the code. Explain what...
-
The information presented here represents selected data from the December 31, 2022, balance sheets and income statements for the year then ended for three firms: Required: Calculate the missing...
-
There are many steps in the motivational process. Which step follows after identification of need deficiencies and searching for ways to satisfy those needs? a. Goal-directed behavior b. Performance...
-
Banner Company acquires an 80% interest in Roller Company for $640,000 cash on January 1, 2013. The NCI has a fair value of $160,000. Any excess of cost over book value is attributed to goodwill. To...
-
Consider two ways of protecting elephants from poachers in African countries. In one approach, the government sets up enormous national parks that have sufficient habitat for elephants to thrive and...
-
Use the Chain Rule to find dz/dt or dw/dt. z = sin x cos y, x = t , y = 1/t
-
Use the Chain Rule to find dz/dt or dw/dt. z = 1 + xy , x = tan t, y = arctan t
-
Use the Chain Rule to find dz/dt or dw/dt. w = xe y/z , x = t 2 , y = 1 - t, z = 1 + 2t
-
Question 39 Aggregate demand will decrease if: O the money supply increases. O the government raises tax rates. the aggregate price level falls. productivity declines.
-
Polypropylene (PP) is a hydrocarbon polymer produced from the reaction of chemicals obtained from crude oil. PP is used in many applications including the manufacture of food containers such as...
-
Roger lost his job at the R - gone Manufacturing Company. Since then he has been trying to find a job at other local factories. He is counted as employed unemployed not in the labor force
Study smarter with the SolutionInn App