33. Find the area of sector AOB-AAOB in this figure. O is the center of the circl OB = 100 m, ZAOC-60 A C A. 10000 B 00-2500-√3 B. 10000-50/53 C. 100 -100/3 D. 10000--2500,5 Soved anoisupe senil lo motaya gniwcllot en ee 28-=X
33. Find the area of sector AOB-AAOB in this figure. O is the center of the circl OB = 100 m, ZAOC-60 A C A. 10000 B 00-2500-√3 B. 10000-50/53 C. 100 -100/3 D. 10000--2500,5 Soved anoisupe senil lo motaya gniwcllot en ee 28-=X
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
33
In the given circle diagram, there are two angles inscribed:
- One angle is 40°.
- The other angle is 30°.
- The unknown angle x° is located between the two given angles.
**Options:**
A. 40
B. 30
C. 5
D. 35
---
#### Question 33
**Find the area of sector \( AOB - \Delta AOB \) in this figure:**
In the given figure, \( O \) is the center of the circle, and \( OB = 100 \, \text{m} \). The angle \( \angle AOC = 60° \).
**Options:**
A. \(\frac{1000}{3}\pi - 2500 \sqrt{3}\)
B. \(\frac{10000}{3}\pi - 50 \sqrt{3}\)
C. \(\frac{100}{3}\pi - 100\sqrt{3}\)
D. \(\frac{10000}{3}\pi - 2500\sqrt{3}\)
---
**Graph/Diagram Descriptions:**
1. **Circle Diagram for Question 32:**
The circle includes two angles, one measuring 40° and another measuring 30°, both meeting at a common point on the circumference. The unknown angle \( x \) is subtended by these two angles, positioned in between them.
2. **Sector Diagram for Question 33:**
The circle has a sector \( AOB \) marked in pink and a triangle \( \Delta AOB \) within the sector. \( O \) is the center of the circle, \( OB = 100 \, \text{m} \), and the angle \( \angle AOC \) equals 60°. This problem involves finding the area of the sector excluding the area of the triangle \( \Delta AOB \).
---
### Instructions for Students:
Carefully analyze the diagrams and use the provided geometric relationships to solve for the unknown values. Use trigonometric identities and area formulas where necessary to determine the correct answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d544791-a77c-4b5e-888b-2e8a4014205c%2F50c931fc-9c13-41e4-81f9-cec3c4206882%2F2tkiqda_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
### Geometry Problems - Practice Questions
#### Question 32
**Find the value of x:**
In the given circle diagram, there are two angles inscribed:
- One angle is 40°.
- The other angle is 30°.
- The unknown angle x° is located between the two given angles.
**Options:**
A. 40
B. 30
C. 5
D. 35
---
#### Question 33
**Find the area of sector \( AOB - \Delta AOB \) in this figure:**
In the given figure, \( O \) is the center of the circle, and \( OB = 100 \, \text{m} \). The angle \( \angle AOC = 60° \).
**Options:**
A. \(\frac{1000}{3}\pi - 2500 \sqrt{3}\)
B. \(\frac{10000}{3}\pi - 50 \sqrt{3}\)
C. \(\frac{100}{3}\pi - 100\sqrt{3}\)
D. \(\frac{10000}{3}\pi - 2500\sqrt{3}\)
---
**Graph/Diagram Descriptions:**
1. **Circle Diagram for Question 32:**
The circle includes two angles, one measuring 40° and another measuring 30°, both meeting at a common point on the circumference. The unknown angle \( x \) is subtended by these two angles, positioned in between them.
2. **Sector Diagram for Question 33:**
The circle has a sector \( AOB \) marked in pink and a triangle \( \Delta AOB \) within the sector. \( O \) is the center of the circle, \( OB = 100 \, \text{m} \), and the angle \( \angle AOC \) equals 60°. This problem involves finding the area of the sector excluding the area of the triangle \( \Delta AOB \).
---
### Instructions for Students:
Carefully analyze the diagrams and use the provided geometric relationships to solve for the unknown values. Use trigonometric identities and area formulas where necessary to determine the correct answers.
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