Math Problem Statement
The radius, r, of the circle below is 11 cm. Calculate the area of the circle. Give your answer to 1 d.p.
Solution
To calculate the area of the circle, we will use the formula for the area of a circle:
where:
- (the radius).
Substitute the value of into the formula:
Using the approximation :
Rounding to one decimal place:
So, the area of the circle is approximately .
Let me know if you need further details or if you have any questions! Here are some related questions you might find useful:
- How does changing the radius affect the area of a circle?
- What is the relationship between the radius and circumference of a circle?
- How do you calculate the area of a sector of a circle?
- What happens to the area of a circle if the radius is doubled?
- What is the formula to calculate the circumference of a circle?
Tip: The area of a circle is proportional to the square of its radius, so even a small change in the radius can significantly affect the area.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of a Circle
Formulas
Area = πr²
Theorems
-
Suitable Grade Level
Grades 6-8