Math Problem Statement
The radius of the circle is 27 mm. Calculate the area of the circle. Give your answer to 1 decimal place.
Solution
The problem in the image asks to calculate the area of a circle given that the radius is 27 mm, and to give the answer to 1 decimal place.
The formula for the area of a circle is:
Where:
- is the radius, and
- is approximately 3.14159.
Given that the radius , we can substitute this into the formula:
Thus, the area of the circle is approximately 2290.2 mm² when rounded to 1 decimal place.
Would you like more details or have any other questions? Here are five related questions to consider:
- What is the area of a circle if the radius is doubled?
- How would the area change if the radius were halved?
- How do we calculate the circumference of a circle using the radius?
- Can you find the area of a sector if the angle is 90° and the radius is 27 mm?
- How is the concept of area applied in real-life problems involving circles?
Tip: Always square the radius before multiplying by to avoid common mistakes when calculating the area of a circle!
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of a Circle
Formulas
Area of a circle formula: A = πr^2
Theorems
Area of a Circle
Suitable Grade Level
Grades 6-8