https://file.aiquickdraw.com/mathbot/file/1728932115011wl0iu1ng.jpg

The problem in the image asks how many curved track pieces are needed to complete a full circle, given that each curved piece has an angle of 30°.

To make a complete circle, the total angle is 360°. Since each track piece covers 30°, the number of pieces needed is calculated by dividing the total angle by the angle of one piece:

\[
\frac{360^\circ}{30^\circ} = 12
\]

So, **12 curved pieces** are needed to form a complete circle.

Would you like more details, or have any questions?

Here are 5 related questions to expand on this:
1. How do we calculate the number of pieces if the angle of each piece changes?
2. What if the angle of the curved piece was 45°? How many pieces would be needed?
3. How do angles relate to the circumference of a circle?
4. Can you calculate how much arc length one 30° piece would cover if the circle's radius is known?
5. What is the relationship between the radius of the circle and the angle of these curved pieces?

**Tip:** To solve geometry problems involving circles, always check how the given angle or length relates to the full circle's 360°.

Look at the curved piece of track in the diagram. How many of these curved pieces are needed to make a complete circle of track?

Discover how many 30° curved track pieces are required to complete a full 360° circle. This geometry problem explores angle relationships within circles and demonstrates the division of angles to form a complete loop. Perfect for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation