Math Problem Statement
The diameter of a circle is 38 kilometres. What is the length of a 36° arc? from now on , all mesages are not going to show process , just give the ansewer right away
Solution
The length of the 36° arc is 11.94 kilometers.
Would you like more details or have any other questions?
Here are 5 related questions:
- What is the circumference of the full circle with a 38 km diameter?
- How would the arc length change for a 45° angle?
- How can the arc length formula be derived?
- How does the arc length differ if the circle’s diameter is halved?
- What is the relationship between the arc length and the radius of a circle?
Tip: Remember, arc length is proportional to the central angle when working with circles.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Arc Length
Radians
Formulas
Arc Length = (θ/360) * 2πr
Circumference = πd
Theorems
Proportionality of arc length to central angle
Relationship between radius and circumference
Suitable Grade Level
Grades 8-10
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