Chapter 9: Q4. (page 341)

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

Short Answer

Expert verified

a. The measure of an arc $\overset{⏜}{A B D}$ is $180 .$

Step by step solution

Step 1. Given information:

The given figure is,

Step 2. Concept used:

Following properties are used here,

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

Step 3. Applying the concept:

Here, in the figure

$\begin{array}{l} ∠ A O D = ∠ A O B + ∠ B O C + ∠ C O D \\ {=50}^{\circ} + 80^{\circ} + 50^{\circ} \\ = 180^{\circ} \end{array}$

Since

$\begin{array}{l} m \overset{⏜}{A B D} = m ∠ A O D \\ =180 \end{array}$

Therefore, the measure of arc $A B D$ is $180 .$

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

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used:

Step 3. Applying the concept:

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In exercises 2-7 find the measure of the arc. ABD⏜

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

Applied Mathematics

Pure Maths

Statistics

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Study anywhere. Anytime. Across all devices.

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