Introduction
Are you looking for the answer key with work for the Giant Circle Challenge? Look no further! In this article, we will provide you with the complete answer key to help you solve the challenge. Whether you are a student struggling with geometry or someone who loves solving puzzles, this article is for you.
What is the Giant Circle Challenge?
The Giant Circle Challenge is a geometry puzzle that requires you to find the area of a large circle that is made up of smaller circles. The challenge has gained popularity in recent years and has become a favorite among puzzle enthusiasts.
The Challenge
The challenge involves a large circle with a diameter of 100 units. Inside the circle, there are 10 smaller circles, each with a diameter of 10 units. The task is to find the area of the large circle that is not covered by any of the smaller circles.
The Answer Key
To solve the Giant Circle Challenge, you need to follow these steps:
Step 1: Find the area of each small circle
The area of each small circle is πr², where r is the radius of the circle. In this case, the radius is 5 units (half of the diameter). Therefore, the area of each small circle is 25π square units.
Step 2: Find the combined area of all small circles
To find the combined area of all small circles, you need to multiply the area of each small circle by the number of small circles. In this case, there are 10 small circles. Therefore, the combined area of all small circles is 250π square units.
Step 3: Find the area of the large circle
The area of the large circle is πr², where r is the radius of the circle. In this case, the radius is 50 units (half of the diameter). Therefore, the area of the large circle is 2500π square units.
Step 4: Subtract the area of the small circles from the area of the large circle
To find the area of the large circle that is not covered by any of the small circles, you need to subtract the combined area of all small circles from the area of the large circle. Therefore, the area of the large circle that is not covered by any of the small circles is 2250π square units.
Conclusion
In conclusion, the Giant Circle Challenge is a fun and challenging puzzle that requires you to use your geometry skills. By following the steps outlined in this article, you can easily solve the challenge and impress your friends. So, go ahead and give it a try!
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