Chapter 9: Q3. (page 341)

In exercises $2 - 7$ find the measure of the arc.
role="math" localid="1649086294011" $\overset{⏜}{A C}$

Short Answer

Expert verified

a. The measure of an arc $\overset{⏜}{A C}$ is $130 .$

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

$\begin{array}{l} ∠ A O C = ∠ A O B + ∠ B O C \\ {=50}^{\circ} + 80^{\circ} \\ = 130^{\circ} \end{array}$

Since

$\begin{array}{l} m \overset{⏜}{A C} = m ∠ A O C \\ =130 \end{array}$

Therefore, the measure of arc $A C$ is $130 .$

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In exercises $2 - 7$ find the measure of the arc.
role="math" localid="1649086294011" $\overset{⏜}{A C}$

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. role="math" localid="1649086294011" AC⏜

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

Mechanics Maths

Calculus

Pure Maths

Applied Mathematics

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In exercises $2 - 7$ find the measure of the arc.
role="math" localid="1649086294011" $\overset{⏜}{A C}$