A shape is made from joining a triangle ABC to a sector CBD of a circle with
Question:
A shape is made from joining a triangle ABC to a sector CBD of a circle with radius 7 cm and centre C. The points A, C and D lie on a straight line with AC = 9 cm. Angle BAC = 0.5 radians. Find
a) The angle ACB giving your answer in radians
b) The area of ABDC.
A 0.5 rad 9 cm C B 7cm 7cm D
Step by Step Answer:
ANSWER We can see that triangle ABC is a right triangle since angle BAC is 05 radians and angle ACB ...View the full answer
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
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
-
The circle has radius 7 cm and centre O. AB is a chord and angle AOB = 2 radians. Find: a. The length of arc AB b. The length of chord AB c. The perimeter of the shaded segment. A 7 cm 2 rad 0 7 cm B
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
In the diagram, AB is an arc of a circle with centre O and radius 4cm. Angle AOB is radians. The point D on OB is such that AD is perpendicular to OB. The arc DC, with centre O, meets OA at C. i....
-
What are the four key building blocks of financial statement analysis? a. Liquidity and efficiency, solvency, profitability, and market b. Liquidity and efficiency, solvency, profitability, and...
-
Approximate the median of the frequency distribution in Problem 3. Temperature (F) ....Frequency 61-64 ......... 31 65-67 ......... 67 68-69 .......198 70 .........195 71-72 ........120 73-76...
-
Explain how the accounting system tracks individual expenses so the accounting system can report to managers the expenses and revenues for which they are responsible. LO.1
-
On January 1, 2011, Lennon Corporation acquires 100% of Ono Inc. for $220,000 in cash. The condensed balance sheets of the two corporations immediately following the acquisition are as follows....
-
Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cumulative preferred 3% stock, $20 par and 400,000 shares of $25 par...
-
You are on the Sports Day planning group and have been allocated the role as parent liaison. This involves providing parents with all information they need to know about the sports day and providing...
-
OAB is a sector of a circle, with centre O and a radius of 12 cm. Find the perimeter of the shaded segment. A B 12 cm I rad 0
-
The diagram below shows a triangle ABC with AB = 10 cm, AC = 13 cm and angle BAC = 0.5 rad. BD is an arc of a circle with centre A and radius 10 cm. Find a) The length of arc BD b) The perimeter of...
-
Write a paper in which you: Provide a detailed summary of your hospital's organizational structure. Include a tabulated description of the levels of professionals within the organization. Describe...
-
Test - LOG 2060 Intermediate Systems Sustainment Management T07.E02 Describe DoD's Depot Maintenance Enterprise and How Core, 50-50, and Partnering Initiatives Question 30 of 31. In depot...
-
Assuming that StickerGiant plans to expand its business to overseas markets, what are the top 3 environmental factors (economic, political/legal, demographic, social, competitive, global, and...
-
Selina is an avid sky diver. How would an insurer rate the severity/probability of the risks to which Selina is exposed? a) minor/low b) critical/high c) material/medium d) critical/low
-
Primare Corporation has provided the following data concerning last month's manufacturing operations. Purchases of raw materials Indirect materials used in production Direct labor Manufacturing...
-
Perpendicular Offset Practice Problem Find the perpendicular offset and station of Point K relative to line JL. Point K N 2423.58 Point L. Point J N 2537.19 N 2399.34 E 1774.94 E 2223.41 E 2445.15
-
A linear regression analysis was performed using x 1 as a predictor variable. The p-value associated with the regression coefficient for x 1 was 0.02, and the sign of the coefficient was negative....
-
Draw the major product for each of the following reactions: (a) (b) (c) 1) 9-BBN 2) H2O2, NaOH 1) Disiamylborane 2) H20, NaOH
-
What is Pr(Z > 0.5)? Cardiovascular Disease Because serum cholesterol is related to age and sex, some investigators prefer to express it in terms of z-scores. If X = raw serum cholesterol, then Z = X...
-
What is Pr(1.0 < Z < 1.5)? Cardiovascular Disease Because serum cholesterol is related to age and sex, some investigators prefer to express it in terms of z-scores. If X = raw serum cholesterol, then...
-
What proportion of people have high cholesterol? Suppose a person is regarded as having high cholesterol if Z > 2.0 and borderline cholesterol if 1.5 < Z < 2.0.
-
How do warehouses and distribution centers differ? What is cross-docking and why might a company choose to cross-dock a product? What kinds of products can be delivered electronically? What kinds...
-
Strawberry Inc. has historically been an all-equity firm. The analyst expects EBIT to be $1.5B in perpetuity starting one year from now. The cost of equity for the company is 11.5% and the tax rate...
-
Guzman company received a 60- day, 5 % note for 54,000 dated July 12 from a customer on account. Determine the due date on note. Determine the maturity value of the note and journalize the entry of...
Study smarter with the SolutionInn App