Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
Bartleby Related Questions Icon

Related questions

Q: Determine the approximate area of the sector shown?
A:
Q: Find the approximate area of a circle withr= 2.5
A: It is given that the radius of the circle is 2.5. That is, r=2.5 Compute the area of the circle as…
Q: Find the exact area
A: Given, A right angle with hypotenuse 10 and angles are 45°, 45° and 90°   We have to find the area…
Q: 1 A 5.8 m 7 6m 5m 10 24 5.8m
A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…
Q: What is the total lineal distance, in feet, along the curb shown? Round off to the next largest…
A:
Q: 517/2021 If a circle with a radins OF 20 ft has a area of 198 Sa ft,find the central ansle measure.…
A: Given: Circle with radius 20 ft. and  a sector area of 198 sq. ft.
Q: Use the data in the table below to answer the following questions. X-variable Y-variable Point 8. B.…
A: The coordinate points of triangle ABC areA(0,8)B(0,5)C(30,5)To find,the area of the triangle formed…
Question
**Geometry Problem: Finding the Area of a Sector** In circle N with \( \angle MNP = 90^\circ \) and \( MN = 12 \) units, find the area of sector MNP. Round to the nearest hundredth. ### Diagram Description The diagram provided shows a circle with center N. Points M and P are on the circumference of the circle. The angle \( \angle MNP \) is a right angle, i.e., \( 90^\circ \). The radius of the circle, denoted by the length MN, is 12 units. ### Calculations To find the area of sector MNP, we use the formula for the area of a sector: \[ \text{Area of Sector} = \frac{\theta}{360^\circ} \times \pi r^2 \] where \( \theta \) is the angle of the sector and \( r \) is the radius of the circle. Given: \[ \theta = 90^\circ \] \[ r = 12 \text{ units} \] Plugging these values into the formula, we get: \[ \text{Area of Sector} = \frac{90^\circ}{360^\circ} \times \pi (12)^2 \] Simplify the fraction: \[ = \frac{1}{4} \times \pi \times 144 \] \[ = 36\pi \] Using the approximation \( \pi \approx 3.14 \): \[ \text{Area of Sector} = 36 \times 3.14 \] \[ \approx 113.04 \] Therefore, the area of sector MNP is approximately \[ \boxed{113.04} \text{ square units} \]
expand button
Transcribed Image Text:**Geometry Problem: Finding the Area of a Sector** In circle N with \( \angle MNP = 90^\circ \) and \( MN = 12 \) units, find the area of sector MNP. Round to the nearest hundredth. ### Diagram Description The diagram provided shows a circle with center N. Points M and P are on the circumference of the circle. The angle \( \angle MNP \) is a right angle, i.e., \( 90^\circ \). The radius of the circle, denoted by the length MN, is 12 units. ### Calculations To find the area of sector MNP, we use the formula for the area of a sector: \[ \text{Area of Sector} = \frac{\theta}{360^\circ} \times \pi r^2 \] where \( \theta \) is the angle of the sector and \( r \) is the radius of the circle. Given: \[ \theta = 90^\circ \] \[ r = 12 \text{ units} \] Plugging these values into the formula, we get: \[ \text{Area of Sector} = \frac{90^\circ}{360^\circ} \times \pi (12)^2 \] Simplify the fraction: \[ = \frac{1}{4} \times \pi \times 144 \] \[ = 36\pi \] Using the approximation \( \pi \approx 3.14 \): \[ \text{Area of Sector} = 36 \times 3.14 \] \[ \approx 113.04 \] Therefore, the area of sector MNP is approximately \[ \boxed{113.04} \text{ square units} \]
Expert Solution
Check Mark
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
bartleby
This is a popular solution
See solutionCheck out a sample Q&A here
Step 1
VIEW
Step 2
VIEW
bartleby

Trending nowThis is a popular solution!

bartleby

Step by stepSolved in 2 steps with 1 images

See solution
Check out a sample Q&A here
Blurred answer
Knowledge Booster
Background pattern image
Geometry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Text book image
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
SEE MORE TEXTBOOKS