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Magazine Chapter 1: Q8 (page 4)
Compare the areas of the red and blue regions. (Area of circle = 
.)
Short Answer
The red and blue region of the circle represents that their areas are equal to each other but not exactly.
Step by step solution
Step 1. Determine the radius of the red region
Use a ruler to determine the diameter of the red region which is 11 cm. The half of the diameter represents the radius of a circle so the radius of the red region is 
.
Step 2. Determine the area of red region
Use the formula of the area of a circle 
and substitute 
in it after it performs the simplification.
Step 3. Determine the radius of the whole circle
Use a ruler to determine the diameter of the whole circle which is 
cm. The half of the diameter represents the radius of a circle so the radius of the whole circle is 
.
Step 4. Determine the area of whole circle
Use the formula of the area of a circle 
and substitute 
in it after it performs the simplification.
Step 5. Determine the radius of the inner circle
Use a ruler to determine the diameter of the inner circle which is 15 cm. The half of the diameter represents the radius of a circle so the radius of the inner circle is 
.
Step 6. Determine the area of inner circle
Use the formula of the area of a circle 
and substitute 
in it after it performs the simplification.
Step 7. Determine the area of blue region
To determine the area of the blue region performs the subtraction of the area of the inner circle from the area of the outer circle.
Step 8. Compare the area of both the regions and make conclusion
The area of the red region is 
and the area of the blue region is 
. This shows that the areas of both the regions are equal to each other but not exactly.
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