Find the length of the arc subtended by a central angle of 30 on a circle of
Question:
Find the length of the arc subtended by a central angle of 30° on a circle of radius 2 feet.What is the area of the sector?
Step by Step Answer:
r 2 feet 0 30 or ...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
-
If the radius of a circle is r and the length of the arc subtended by a central angle is also r, then the measure of the angle is 1 _______.
-
Cadillac Mountain, elevation 1530 feet, is located in Acadia National Park, Maine, and is the highest peak on the east coast of the United States. It is said that a person standing on the summit will...
-
1. Find the length of the arc on a circle with a radius of 20 inches intercepted by a central angle of 138 2. At what speed is a bicycle traveling when its 29-inch-diameter tires are rotating at an...
-
Based on the following data, determine the cost of merchandise sold for August: Merchandise inventory, August 1 $120,000 Merchandise inventory, August 31 150,000 Purchases 780,000 Purchases returns...
-
Discuss at length the concerns and issues related to outsourcing.
-
Visit http://ideas.lego.com. How does LEGO use crowdsourcing to find innovative new product ideas?
-
Ben Alexander, an enterprising young engineering graduate who worked part-time as a machinist during college, decided to establish his own mechanical design and specialty manufacturing business after...
-
Market equity beta measures the covariability of a firms returns with all shares traded on the market (in excess of the risk-free interest rate). We refer to the degree of covariability as systematic...
-
You arrive at your first client meeting with Jaba's Smoothie Hut. Jaba's owner, Kim, has asked you to install a Wi-Fi network for his customers. Kim has told you that the store needs the following:...
-
Hudson Company, which is both a wholesaler and a retailer, purchases its inventories from various suppliers. Additional facts for Hudson's wholesale operations are as follows: a. Hudson incurs...
-
(a) Convert the angle 3220'35" to a decimal in degrees. Round the answer to two decimal places. (b) Convert the angle 63.18 to DM'S" form. Express the answer to the nearest second.
-
The minute hand of a clock is 8 inches long. How far does the tip of the minute hand move in 30 minutes? How far does it move in 20 minutes?
-
Your lab instructor has asked you to measure a spring constant using a dynamic methodletting it oscillaterather than a static method of stretching it. You and your lab partner suspend the spring from...
-
in what ways did conflicting ideologies and racial tensions and violence shape the 1920s era? Explain
-
In fiscal year 2022, Bob's Sporting Goods had net operating income of $50,000. Sales were $350,000. Average operating assets were $400,000. The company's required rate of return is 10%. What is the...
-
A specialty store sells items that are priced at exactly $3, $5, or $6. The store manager figures that 16% of inventory is priced at $3, 32% is priced at $5, and 52% is priced at $6. With this in...
-
Use calculus to find the MPK and MPL Find the Slope of the Isoquant Production Function: Q=50+6L-.5L^2+22K-.25K^2
-
Your company, ABC Ltd, uses a 15% required rate of return to assess investments. You are proposing to jump ahead of the opposition by installing a newly developed artificial intelligence production...
-
Consider the following fictional URL: www.acme.com/products/info.html. What does each part of this URL (separated by slashes) specify?
-
Define a traverse in Surveying?
-
Problems 5261. 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....
-
Billy hit a baseball with an initial speed of 125 feet per second at an angle of 40 to the horizontal. The ball was hit at a height of 3 feet above the ground. (a) Find parametric equations that...
-
In Problems 5966, write an equation for each parabola. -2 2 (0, 1) -2 (1, 2) X
-
Company F shipped 8,000 tons of gold for a total mixed cost of $450,000 in April and 11,000 tons for $555,000 in May. Shipping costs for 13,000 tons to be shipped in June would be expected to be?
-
After the U.S. Congress passed temporary tax cuts in 2010, U.S. taxpayers who earned up to $50,000 per year had a lower tax rate. On average, these taxpayers retained 2% more of their income than...
-
At the beginning of the year DRJ Enterprises reported gross fixed assets of $915 million and net fixed assets of $616 million; at the end of the year, it reported gross fixed assets of $882 million...
Study smarter with the SolutionInn App