Math Problem Statement
اوجد محيط الدائرة
Solution
To find the circumference of the circle from the provided image, we need to extract the following details:
Given Information:
- The width of the rectangle at the top is 10 meters.
- The height of the rectangle on the side is 7 meters.
- The shape beneath the rectangle is a semicircle.
Steps to Find the Circumference of the Circle:
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Identify the diameter of the circle: The diameter of the semicircle matches the width of the rectangle, which is 10 meters.
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Calculate the radius of the circle: The radius is half the diameter.
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Calculate the circumference of the full circle: The formula for the circumference of a full circle is:
Therefore, the total circumference of the full circle is meters, which is approximately .
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Interpret the question: Since the shape shown in the image is a semicircle, the circumference needed is half of the full circle. Additionally, we include the straight horizontal edge (the diameter) as part of the total perimeter around the shape.
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The semicircular part's circumference is:
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Adding the diameter to the total perimeter:
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Thus, the total perimeter around the semicircle is approximately 25.71 meters.
Let me know if you'd like more details or have questions! Here are 5 related questions for further practice:
- What is the formula for the area of a circle?
- How would you calculate the area of a semicircle?
- If the radius of the circle were 6 meters, what would the circumference be?
- What is the relationship between the diameter and circumference of a circle?
- How can you calculate the area of a sector of a circle?
Tip: Always ensure that you include all necessary parts of a shape (like straight edges) when calculating perimeters for composite shapes.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circumference
Semicircles
Formulas
C = 2πr
Semicircle Circumference = πr
Theorems
Perimeter of composite shapes
Circle circumference theorem
Suitable Grade Level
Grades 5-7
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