AOB is a sector of a circle, centre O, with radius 8cm. The length of arc AB

Question:

AOB is a sector of a circle, centre O, with radius 8cm.
The length of arc AB is 10 cm. Find:
a. Angle AOB, in radians

b. The area of the sector AOB.

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

AOB is a sector of a circle, centre O, with radius 9 cm. Angle COD = 0.5 radians and angle ODC is a right angle. OC = 5 cm. Find a. OD b. CD c. The perimeter of the shaded region d. The area of the...
A sector of a circle with radius 8 cm has central angle 4/7. a. Find the area of the sector. b. Set up a proportion of the area of the sector to the total area of the circle, and a proportion of the...
A sector of a circle of radius r cm has an angle radians, where < . The perimeter of the sector is 30 cm. a. Show that the area, A cm 2 , of the sector is given by A = 15r r 2 . b. Given that r...
Show that the rectangular box (including the top and bottom) with fixed volume V = 27 m 3 and smallest possible surface area is a cube (Figure 25). X y Z
A golf ball manufacturer has determined that a newly developed process results in a ball that lasts roughly twice as long as a ball produced by the current process. To illustrate this advance...
Show that the acceleration of a car that can go from rest to 100 km/h in 10 s is 10 km/hs.
North Shore Childcare Ltd plans to open a day care centre at the beginning of next year. A building has been leased and the company has estimated that the following annual costs will be required....
The University of Chicago Press is wholly owned by the university. It performs the bulk of its work for other university departments, which pay as though the press were an outside business...
4. The slab of thickness H in the figure below is at temperature T, when the electric heat and convection conditions are suddenly applied. Set up the proper differential equation and conditions. hoo,...
1.How much gain on derecognition of the corporate housing facility should Snack That, as seller-lessee, recognize as a result of the sale? 2.How much gain on derecognition of the shuttle should Snack...
The diagram shows a sector, AOB, of a circle, centre O, with radius 5cm and sector angle /3 radians. The lines AP and BP are tangents to the circle at A and B, respectively. a. Find the exact length...
The diagram shows a circle with centre A and radius r. Diameters CAD and BAE are perpendicular to each other. A larger circle has centre B and passes through C and D. i. Show that the radius of the...
True Or False A defendant is liable for allowing gases or particles to enter the plaintiffs land or for setting off a blast that causes vibrations on the plaintiffs land.
per share in 2020 is expected to be $10.12. a. If you can earn 13% on similar-risk investments, what is the most you would be willing to pay per share in 2019, just after the $9.73 dividend? b. If...
If square ABCD has an area of 36 square units, what is the perimeter of square WXYZ given that each vertex of square WXYZ bisects the side of square ABCD that it intersects?
1.Determine a minimum spanning tree of the graph above using Prim's algorithm (Show Steps) 2. Determine a minimum spanning tree of the graph above using Kuruskal's algorithm (Show Steps) I
Consider an economy whose current saving rate (s) is lower than its golden rule saving rate (SGOLD). Assume that the economy has a positive depreciation rate, population growth rate and growth rate...
E Considering the following neural network with inputs (x1, x2), outputs (21, 22, 23), and parameters = (a, b, c, d, e, f, i, j, k, l, m, n, o, p, q), 91 a b (2) = ( ))+(}). 92 == (h) = 21 22 = 23 C...
Define the following terms: (a) Easement (b) Subdivision surveys (c) Color of title (d) Adverse possession
In Exercises delete part of the domain so that the function that remains is one-to-one. Find the inverse function of the remaining function and give the domain of the inverse function. f(x) = 16x4 -3...
Prove that the normal to the curve y = sin x at the point P(/2, /2) intersects the x-axis at the point (, 0).
Find the exact coordinates of the stationary point on the curve y = e 2x /x 2 and determine its nature.
The line 2x 2y = 5 intersects the curve 2x 2 y x 2 26y 35 = 0 at three points a. Find the x-coordinates of the points of intersection. b. Find the gradient of the curve at each of the points of...
One key feature of Sage 50 Accounting software, it implements user access controls to restrict access to sensitive financial data. Maintain the security of financial information with password...
For this exercise, instead of using the values in the challenge, ask the user for the number of shares, the share price, and the percent commission.For this exercise, instead of using the values in...
Draw energy band diagram for a MOS structure in thermal equilibrium with (a). P-type semiconductor. Use4 , 3.5 , 1.0m sc Gq eV q eV E eV = = = and calculate VFB. Estimate the required applied voltage...

AOB is a sector of a circle, centre O, with radius 8cm. The length of arc AB

Question:

Step by Step Answer:

a To find the angle AOB in radians we can use the fo...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions