Math Problem Statement
Solution
The image shows a square inscribed within a circle with the label "Keliling" which means "perimeter" in Indonesian. The side length of the square is given as 20 units. The task appears to be finding the perimeter (keliling) of the square or possibly the circumference of the circle.
Let's solve both parts for clarity:
-
Perimeter of the Square:
- The perimeter of a square is given by .
- Here, the side length = 20 units.
- units.
-
Circumference of the Circle:
- Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.
- The diagonal of a square with side length is given by .
- Here, units, so .
- The circumference of a circle is given by .
- units.
Summary
- Perimeter of the square: units.
- Circumference of the circle: Approximately units.
Would you like to know more details or have any questions about this problem?
Related Questions:
- What is the area of the square with a side length of 20 units?
- How do you calculate the diagonal of a square?
- What is the area of the circle inscribed around a square with a side length of 20 units?
- How is the radius of the circle related to the side length of the square?
- How do you find the circumference of a circle given its diameter?
Tip:
When dealing with a square inscribed in a circle, remember that the circle's diameter is the diagonal of the square.
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Math Problem Analysis
Mathematical Concepts
Geometry
Perimeter
Circumference
Diagonals
Squares
Circles
Formulas
Perimeter of square P = 4 * side length
Diagonal of square d = side length * sqrt(2)
Circumference of circle C = π * diameter
Theorems
Pythagorean Theorem (for diagonal of a square)
Suitable Grade Level
Grades 6-8
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