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Geometry

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

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 9: Q2. (page 341)

In exercises $2 - 7$ find the measure of the arc.
$\overset{⏜}{A B}$

Short Answer

Expert verified

(a) The measure of an arc $\overset{⏜}{A B}$ is $50 .$

Step by step solution

01

Step 1. Given information:

The given figure is,

02

Step 2. Concept used:

Following properties are used here,

The arc length of a circle can be calculated with the radius and central angle.

03

Step 3. Applying the concept:

Here, in the figure

$∠ A O B = 50 °$

Since

$\begin{array}{l} m \overset{⏜}{A B} = m ∠ A O B \\ =50 \end{array}$

Therefore, the measure of arc $A B$ is $50 .$

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Most popular questions from this chapter

In exercises $8 - 13$ find the angle or the arc named.

$\overset{⏜}{G H E}$

a. Draw a three large circles and inscribe a different shaped quadrilateral $A B C D$ in each.

b. Use a protractor to measure all the angles.

c. Compute $m ∠ A + m ∠ C$ and $m ∠ B + m ∠ D .$ .

d. What is the relationship between opposite angles of an inscribed quadrilateral?

For each exercise draw a circle and inscribe the polygon in the circle.

f. A quadrilateral $P Q R S$ .

Use a compass to draw a large $⊙ o .$ Draw a central $∠ A O B .$ .

a. draw three other points $P, Q$ and $R$ that are on $⊙ o$ but not on $\overset{⏜}{A B}$ .

then draw $∠ A P B, ∠ A Q B$ and $∠ A R B$ .

b. Use a protractor to find $m ∠ A O B, m ∠ A P B, m ∠ A Q B$ and $m ∠ A R B$ .

c. What is the relationship between $m ∠ A P B, m ∠ A Q B$ and $m ∠ A R B ?$

What is the relationship between $m ∠ A O B$ and $m ∠ A P B ?$

What is the diameter of the circle with radius $8, 5.2, 4 \sqrt{3}, j$ .

See all solutions

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