Math Problem Statement
The diameter of a circle is 94 cm. By first calculating the radius, work out the area of the circle. Give your answer in cm² to 1 decimal place.
Solution
To solve this problem, we follow these steps:
- Find the radius: The radius of a circle is half of the diameter. Since the diameter is 94 cm, the radius is:
- Calculate the area: The area of a circle is given by the formula:
Substituting :
Thus, the area of the circle is approximately 6940.4 cm² to 1 decimal place.
Would you like more details or have any questions? Here are some follow-up questions:
- How would the area change if the diameter were doubled?
- Can you explain how the formula for the area of a circle is derived?
- What would be the area if the radius were 10 cm smaller?
- How would you find the circumference of the same circle?
- If the circle represented a real-life object, what could its use be?
Tip: When solving geometry problems, always check units carefully to ensure consistent results.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Formulas
Area of a circle: A = πr²
Radius: r = diameter / 2
Theorems
-
Suitable Grade Level
Grades 6-8