https://file.aiquickdraw.com/mathbot/file/1727365333920akcux2cn.jpg

The problem in the image involves calculating the circumference of a shaded region in a sector of a circle. Here's what the problem states:

- The angle ∠ABC is 120°.
- The length of line AB (which appears to be the radius of the sector) is 14 cm.
- The task is to find the circumference of the shaded area.

### Steps to solve:

1. **Sector of the Circle**:
   The given angle is 120°, and this is part of a circle. The formula to calculate the arc length of a sector is:
   
   \[
   \text{Arc Length} = 2\pi r \times \frac{\theta}{360}
   \]
   where \(r\) is the radius and \(\theta\) is the angle of the sector.

2. **Shaded Region Circumference**:
   The circumference will be composed of:
   - The arc length of the sector.
   - The two straight sides (AB and BC), which are both the radius of the circle, 14 cm.

Let me calculate the arc length and the total perimeter of the shaded region.The circumference of the shaded region is approximately 57.32 cm.

Would you like further details or have any other questions? 

Here are 5 related questions to deepen understanding:
1. How do you calculate the area of a sector with a given angle and radius?
2. What is the formula for calculating the total circumference of a circle?
3. How does changing the angle of the sector affect the arc length?
4. Can you calculate the area of the shaded region using similar principles?
5. What happens to the circumference of the shaded region if the radius is doubled?

**Tip**: When working with circle sectors, always ensure you convert angles to radians if using the radian-based formulas, but degrees can work directly with most circumference calculations!

Besar sudut ABC adalah 120° dan AB 14 cm. Keliling daerah yang diarsir adalah .... cm

Learn how to calculate the circumference of a shaded region in a circle sector with a 120° angle and a radius of 14 cm. This problem covers key geometry concepts, including the arc length formula and the perimeter of sectors.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation