The circle has radius 6cm and centre O. PQ is a tangent to the circle at the

Question:

The circle has radius 6cm and centre O.
PQ is a tangent to the circle at the point P.
QRO is a straight line. Find:

a. Angle POQ, in radians

b. The length of QR

c. The perimeter of the shaded area.

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 circle has radius 12 cm and centre O. PQ is a tangent to the circle at the point P. QRO is a straight-line. Find a. Angle POQ in radians b. The area of sector POR c. The area of the shaded...
The line L is a tangent to the circle x 2 + y 2 = 50 at the point (-5, -5). Line L crosses the x-axis at point P. Work out the coordinates of P.
The line L is a tangent to the circle x 2 + y 2 = 26 at the point (5, 1). Line L crosses the x-axis at point P. Work out the coordinates of P.
Consider the utility function U(x 1 , x 2 ) = x 1 x 2 with budget constraint p 1 x 1 + p 2 x 2 = c. (a) Show that the maximum of U(x 1 , x 2 ) subject to the budget constraint is equal to c 2 /(4p 1...
From NCAA.comthe official Web site for NCAA sportswe obtained the National Collegiate Athletic Association wrestling champions for the years 19842008. They are displayed in the following table. a....
Your company owns a vacant lot in a suburban area. What is the advantage of waiting to develop the lot?
TMP Human Resource Consulting had the following contribution margin income statement for the year ended 2025. Required Answer each of the following independent situations. (a) Explain how an...
Multiple Choice 1. What is a basic premise of the acquisition method regarding accounting for a noncontrolling interest? a. Consolidated financial statements should be primarily for the benefit of...
A European call with strike $58 and expiry in three months trades at $3. A put is offered on the same underlying with the same strike and expiry, for $1.50. The annual default-free discount rate is...
At the end of May, the job cost sheets at Cool Pool show the following costs accumulated on three jobs. Additional information a. Job 8 was started in April, and the following costs were assigned to...
Robert is told the size of angle BAC in degrees and he is then asked to calculate the length of the line BC. He uses his calculator but forgets that his calculator is in radian mode. Luckily he still...
The High Roller Ferris wheel in the USA has a diameter of 158.5 metres. Calculate the distance travelled by a capsule as the wheel rotates through /16 radians.
Problems 1726 refer to the table below of the six basic solutions to the e-system. In basic solution (C), which variables are nonbasic? (A) (B) (C) (D) (E) (F) 2x + 3xz + S 4.x + 3x2 1 0 0 0 12 9 6...
Question 1 20 pts Implement a binary search method that searches a sorted array of 'int' for a specific key value. You may decide to implement the method recursively or not. Your method must return...
1) Perform the horizontl analysis for following TFHS balance sheet and incomestatment for 2021-2022 ? 2) Calculate following financial ratios? a) Total margin b) Operating margin c) Return on assets...
prepare the 2020/2021 individual tax return for Bronte Carr. Bronte is the sole managing director of the business Mindfulness Pty Ltd that operates 20 retail outlets located throughout Victoria...
Marginal Tax Rate in KS for single filers is 15,000 3.1% $0 5.7% I > $30,000 T(I)=5.25% $15,000
Your task is to determine the actual speed traveled by a Ford F-150 with a variety of tire dimensions Role: You are the owner of a new Ford F-150 Audience: The judge and policeman that have charged...
Two disputing neighbors employ a surveyor to check their boundary line. Discuss the surveyor's authority if (a) The line established is agreeable to both clients (b) The line is not accepted by one...
Graph one period of each function. y = 4 cos x
A curve has equation y = e 3x /sin3x for 0 < x < /2. Find the exact value for the x-coordinate of the stationary point of this curve and determine the nature of this point.
Find the stationary points on the curve x 2 xy + y 2 = 48. By finding d 2 y/dx 2 determine the nature of each of these stationary points.
A curve has equation y = sin 2x/e 2x for 0 < x < /2. Find the exact value for the x-coordinate of the stationary point of this curve.
65. Doubling the initial concentration of a reactant doubles t1/2 of the reaction then order of reaction is :- (1) 3 (2) 2 (3) 1 (4) Zero
61. The solubility product of CuS, AgS and HgS are 10 37, 104 and 1054 respectively. The solubility of these sulphides will be in the order (1) HgS> AgS > Cus (2) AgS>HgS > CuS (3) CuS AgS > HgS (4)...
19. Find the tension T for the system shown in figure :- T T T 1 kg 2 kg 3 kg (1) IgN (2) 2 gN (3) 5 gN (4) 6 gN 20. A ball of mass 0.5 kg moving with a velocity of 2 m/sec strikes a wall normally...

The circle has radius 6cm and centre O. PQ is a tangent to the circle at the

Question:

8 cm R P 6 cm

Step by Step Answer:

a tan Angle POQ86 Angle POQtan 1 ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions