The diagram shows a sector, AOB, of a circle, centre O, with radius Rcm and sector angle 3 radians An inner circle of radius r cm touches the three sides of the sector a Show that R 3r b Show that 0 B A...

See the below attached image with the markings and measure ...

The diagram shows a sector, AOB, of a circle, centre O, with radius Rcm and sector angle

Question:

The diagram shows a sector, AOB, of a circle, centre O, with radius Rcm and sector angle π/3 radians.
An inner circle of radius r cm touches the three sides of the sector.

a. Show that R = 3r.

b. Show that

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 09, 2023 07:05 AM

See More Questions

The eneine mechanism shown in Fig. 8.38 has crank OB 50 mm and length of connecting rod AB 225 mm. The centre of gravity f the rod is at G which is 75 mm from B. The engine speed is 200 r.p.m. 45...
Let A and B be n Ã n matrices and let M be a block matrix of the form Use condition (b) of Theorem 1.4.2 to show that if either A or B is singular, then M must be singular. A C M = O B B
The diagram shows a sector OPQ of a circle with centre O and radius x cm. Angle POQ is 0.8 radians. The point S lies on OQ such that OS = 5 cm. The point R lies on OP such that angle ORS is a right...
Let V be the volume of a can of radius r and height h, and let S be its surface area (including the top and bottom). Find r and h that minimize S subject to the constraint V = 54.
The American Hospital Association conducts annual surveys of hospitals in the United States and publishes its findings in AHA Hospital Statistics. Data on hospital type for U.S. registered hospitals...
What are the difference scores for the following list of scores for participants observed at two times? Time 1 __________________________ Time 2 4 _________________________________ 8 3...
The financial statements for the business of Trinhs Nail Supplies for the past two years are presented below. Additional information 1. All purchases and sales of inventories are on credit. All...
The following data were extracted from the accounting records of Meniscus Company for the year ended June 30, 2008: Merchandise inventory, July 1, 2007 . . . . . . . . . . . . $ 183,250 Merchandise...
We look at the detective novel market. Information gathered through a survey was used to Determine the following demand function and supply function: = 160-4 = 2-20 Graphically represent this console...
Use the following data source and follow the instructions /questions below to create a Power BI dashboard/analytics report. MLB_Data_forDashboardProject_005.xlsx - CORRECTED FILE(08/06/2018)...
The diagram shows the cross-section of two cylindrical metal rods of radii x cm and y cm. A thin band, of length P cm, holds the two rods tightly together.
The diagram shows a circle with radius 1cm, centre O. Triangle AOB is right angled and its hypotenuse AB is a tangent to the circle at P. Angle BAO = x radians. a. Find an expression for the length...
In 1791 Edmund Burke, a British statesman, said, He that wrestles with us strengthens our nerves, and sharpens our skill. Our antagonist is our helper. Do trade union officials help HR managers by...
Assignment is to be typed on the "Incident Report Form" template. Assignment Summary: You are playing the role of a "Loss Prevention Investigator" at a retail store who just witnessed a theft in your...
Once jobs have been evaluated by means of one of the job evaluation methods, the value that has been established allows it to be slotted into a hierarchy that will eventually develop a profile of the...
Find the coefficients of the second and third degree Taylor polynomials centered at x= for the function f(x) = cos(x). a) The second degree Taylor polynomial is T2(x) = A + B(x-) + C(x - ) where: A =...
Assessing a refinancing opportunity is a key component in determining the viability of a real estate investment. The purpose of this assignment is to demonstrate that the student understands the...
A hollow circular column carries a projecting bracket, which supports a load of 25 kN as shown in Fig. 4.29. The distance between the axis of the column and the load is 500 mm. The inner diameter of...
Corners of the SE 1/4 of the NW 1/4 of Sec. 22 are to be monumented. If all section and quarter-section corners originally set are in place, explain the procedure to follow, and sketch all lines to...
Match the following. Answers may be used more than once: Measurement Method A. Amortized cost B. Equity method C. Acquisition method and consolidation D. Fair value method Reporting Method 1. Less...
Find the quotient and remainder for each of the following. a. (x 3 + 2x 2 + 5x 4) (x + 1) b. (6x 3 + 7x 2 6) (x 2) c. (8x 3 + x 2 2x + 1) (2x 1) d. (2x 3 9x 2 9) (3 x) e. (x 3 + 5x 2 3x ...
Given that cosA = - 4/5 and sinB = -8/17 and that A and B lie in the same quadrant, find the value of: a. sin(A + B) b. cos(A + B) c. tan(A B)
Solve a. |4x 3| = 7 b. |1 2x|= 5 c. d. e. f. |2x + 7| = 3x 3x-2 5 = 4
In a jurisdiction where assisted suicide is illegal, a terminally ill patient with no chance of recovery seeks assistance in ending their life. What legal and ethical considerations come into play,...
A 45-year-old man presents to the Emergency Department with a fever, widespread rash, and confusion. His only past history of note was Sydenham's chorea and a number of recent dental extractions....

The diagram shows a sector, AOB, of a circle, centre O, with radius Rcm and sector angle

Question:

0 π ان B A

Step by Step Answer:

See the below attached image with the markings and measure...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions