The circle has been divided into 1, 2, 3, 4, 5, 6, 8, 9, 10, and 12 parts, as shown below. What are the degree measures of the resulting angles?

The circle has been divided into 1, 2, 3, 4, 5, 6, 8, 9, 10, and 12 parts, as shown below. What are the degree measures of the resulting angles? Class 6

Question 1.

The circle has been divided into 1, 2, 3, 4, 5, 6, 8, 9, 10, and 12 parts, as shown below. What are the degree measures of the resulting angles? Write the degree measures down near the indicated angles. Class 6

Solution:

In the first circle, degree measure is [latex]\frac{360^{\circ}}{1}[/latex] = 360°

In the second circle, degree measure is [latex]\frac{360^{\circ}}{2}[/latex] = 180°

In the third circle, degree measure is [latex]\frac{360^{\circ}}{3}[/latex] = 120°

In the fourth circle, degree measure is [latex]\frac{360^{\circ}}{4}[/latex] = 90°

In the fifth circle, degree measure is [latex]\frac{360^{\circ}}{5}[/latex] = 72°

In the sixth circle, degree measure is [latex]\frac{360^{\circ}}{6}[/latex] = 60°

In the seventh circle, degree measure is [latex]\frac{360^{\circ}}{8}[/latex] = 45°

In the eighth circle, degree measure is [latex]\frac{360^{\circ}}{9}[/latex] = 40°

In the ninth circle, degree measure is [latex]\frac{360^{\circ}}{10}[/latex] = 36°

In the tenth circle, degree measure is [latex]\frac{360^{\circ}}{12}[/latex] = 30°