The diagram shows an equilateral triangle, PQR, with side length 5cm. M is the midpoint of the
Question:
The diagram shows an equilateral triangle, PQR, with side length 5cm. M is the midpoint of the line QR. An arc of a circle, centre P, touches QR at M and meets PQ at X and PR at Y. Find in terms of π and 3:
a. The total perimeter of the shaded region.
b. The total area of the shaded region.
Transcribed Image Text:
P Y R M
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (10 reviews)
a To find the perimeter of the shaded region we need to find the lengths of PX MY and YQ Since PQR i...View the full answer
Answered By
User l_917591
As a Business Management graduate from Moi University, I had the opportunity to work as a tutor for undergraduate students in the same field. This experience allowed me to apply the theoretical knowledge I had gained in a practical setting, while also honing my teaching and communication skills.
As a tutor, I was responsible for conducting tutorial sessions, grading assignments and exams, and providing feedback and support to my students. I also assisted with the preparation of course materials and collaborated with other tutors and professors to ensure consistency in teaching and assessment.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
The diagram shows an isosceles triangle PQR inscribed in a circle, centre O, radius r cm. PR = QR and angle ORP = radians. Triangle PQR has an area of A cm 2 . a. Show that A = r 2 sin 2 + r 2 sin 2...
-
Show that if M is the midpoint of the line segment with endpoints P(x 1 , y 1 ) and Q(x 2 , y 2 ), then d(P, M) + d(M, Q) = d(P, Q) and d(P, M) = d(M, Q).
-
Angle ABC is 90 and M is the midpoint of the line AB. The point C lies on the y-axis. a. Find the coordinates of B and C. b. Find the area of triangle ABC. B (6, 4) A(8, 3)
-
According to the law of sales contracts, all parties must act in good faith, which means they must act honestly. True/False
-
A report titled National Transportation Statistics, sponsored by the Bureau of Transportation Statistics, provides statistics on travel in the United States. During one year, the total number of...
-
Which is more prevalent in the food we eat: carbon-12 or carbon-14?
-
Refer to the Hotbox Ltd production process details in problem 21.25. Required Explain in detail, using the facts from Problem 21.25 why it is most appropriate for Hotbox Ltd to use a process costing...
-
Certain item descriptions and amounts are missing from the monthly schedule of cost of goods manufactured and the income statement of Tioga Manufacturing Company. Requirement 1. Fill in the missing...
-
The production manager of Rordan Corporation prepared the following quarterly production forecast for next year: Units to be produced 1st Quarter 2nd Quarter 3rd Quarter 4th Quarter 9,600 7,500 7,800...
-
A total of $50,000 was allocated to a project to detect and reduce insider theft in the ZipCar auto parts store. Two alternatives identified as Y and Z are under consideration. The overall ROR on the...
-
In the diagram, OAB is a sector of a circle with centre O and radius 8cm. Angle BOA is radians. OAC is a semicircle with diameter OA. The area of the semicircle OAC is twice the area of the sector...
-
For each of the following expression, derive an equivalent expression in terms of only the given conditional distributions, using the given conditional independence assumptions. If it is not...
-
Two cows, with approximately 1.8 m between their front and hind legs, are standing under a tree during a thunderstorm. (a) If the equipotential surfaces about the tree just after a lightning strike...
-
year Project Nightglow has the following cash flows: Cash flow () 52417000 0 1 16361000 2 22356000 3 24456000 4 29975000 The required return is 13% per annum What The project's NPV (to the nearest )?
-
Reya owns 1000 shares in PacWest. She receives a dividend of 70c per share. She also receives a franking credit of $30c per share. Required: Explain the tax treatment of the dividend and the franking...
-
Explain the conditions favouring the formation of photochemical fog and list the chemical reactions responsible. List the major pollutants in the automobile exhaust and discuss the ways and means to...
-
Fig. shows a plate cam with translatingin-line roller follower and a plate cam with translating offset roller follower. R=100 mm, OA=20 mm, e=10 mm, r =10 mm. Indicate the pressure angles and the...
-
Gore Global is considering the two mutually exclusive projects below. The cash flows from the projects are summarized below. Year 4 What is the Flying Car's regular payback period at a 12% cost of...
-
Compute the collimation correction factor C for the following field data, taken in accordance with the example and sketch in the field notes of Figure 19.18. With the instrument at station 1, high,...
-
Vectors are drawn from the center of a regular n-sided polygon in the plane to the vertices of the polygon. Show that the sum of the vectors is zero.
-
The functions f and g are defined, for 0 x , by f(x) = e x2 and g(x) = 5 cos x. The diagram shows the graph of y = f(x) and the graph of y = g(x). The gradients of the curves are equal both when x...
-
The equation has a root, , between x = 1 and x = 1.4. a. Show that also satisfies the equation b. Using an iterative formula based on the equation from part a, with a suitable starting value, find...
-
i. Prove that ii. Hence a. Find the exact value of b. Evaluate tan 0 + cot 0 = 2 sin 20
-
9. An arrow 2.5 cm high is placed at a distance of 25 cm from a diverging mirror of focal length 20 cm., Find the nature, position and size of the image formed. 10. The image formed by a convex...
-
1. Find the focal length of a convex mirror of radius of curvature 1m. 2. Focal length of a convex mirror is 50 cm. What is its radius of curvature? 3. Radius of curvature of a concave mirror is 25...
-
When an object is placed between the pole(P) and focus(F) of a concave mirror, the image formed is (i) behind the mirror (ii) virtual and erect and (iii) larger than the object (or magnified) M A' E...
Study smarter with the SolutionInn App