Q1. Using the letters shown in the d... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 9: Q1. (page 341)

Using the letters shown in the diagram, name:
a. two central angles b. a semicircle c. two minor arcs d. two major arcs

Short Answer

Expert verified

(a)The required names are: (a) Four central angles:

$鈭� D O C, 鈭� C O B, 鈭� A O B, 鈭� A O D .$

(b) A semicircle:

$\overset{铃�}{A D O}$

$\overset{铃�}{A B,} \overset{铃�}{C D .}$

(d) Two major arcs:

$\overset{铃�}{A D C,} \overset{铃�}{B D A .}$

Step by step solution

Step 1. Given information:

Consider the given figure as shown in the book as reference.

Step 2. Concept used:

Following properties are used here,

Central angle of a circle is an angle with its vertex at the center of the circle.
If two points are endpoints of diameter, then two arcs are called semicircles.

Step 3. Applying the concept:

Central angle of a circle is an angle with its vertex at the center of the circle.
By analyzing the diagram, four central angles are: $鈭� D O C, 鈭� C O B, 鈭� A O B, 鈭� A O D .$
If two points are endpoints of diameter, then two arcs are called semicircles.
By analyzing the diagram, a semicircle is $\overset{铃�}{A D O .}$
Minor arc is the arc which is smaller than a semicircle.
By analyzing the diagram, two minor arcs are $\overset{铃�}{A B}, \overset{铃�}{C D .}$
Major arc is arc that is larger than semicircle.

By analyzing the diagram, two major arcs are $\overset{铃�}{A D C}$ and $\overset{铃�}{B D A .}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Using the letters shown in the diagram, name:
a. two central angles b. a semicircle c. two minor arcs d. two major arcs

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used:

Step 3. Applying the concept:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Calculus

Discrete Mathematics

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

91影视

Using the letters shown in the diagram, name:a. two central angles b. a semicircle c. two minor arcs d. two major arcs

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used:

Step 3. Applying the concept:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Calculus

Discrete Mathematics

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Using the letters shown in the diagram, name:
a. two central angles b. a semicircle c. two minor arcs d. two major arcs