Question
Shelby bought a circular spin wheel to make a game for the end-of-year carnival. She knows that a circle has 360 degrees in all. She wants to paint 24 equal-sized wedges on the wheel.
Let w represent the angle measure of each wedge. Which equation models the problem?
w
24
=360
24w=360
Solve this equation to find the angle measure of each wedge.
degrees
Let w represent the angle measure of each wedge. Which equation models the problem?
w
24
=360
24w=360
Solve this equation to find the angle measure of each wedge.
degrees
Answers
GPT-4o mini
To model the problem, we can use the equation that relates the total angle of the circle to the number of wedges multiplied by the angle measure of each wedge. This gives us the equation:
\[ 24w = 360 \]
where \( w \) represents the angle measure of each wedge.
To solve for \( w \), we can divide both sides of the equation by 24:
\[ w = \frac{360}{24} \]
Now, calculating the value:
\[ w = 15 \]
Therefore, the angle measure of each wedge is **15 degrees**.
\[ 24w = 360 \]
where \( w \) represents the angle measure of each wedge.
To solve for \( w \), we can divide both sides of the equation by 24:
\[ w = \frac{360}{24} \]
Now, calculating the value:
\[ w = 15 \]
Therefore, the angle measure of each wedge is **15 degrees**.