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10. If you laid the radius end to end around the circumference of a circle A, how many radii would
it take to fit exactly?

User Parimal
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1 Answer

2 votes

Answer:

Explanation:

Step 1: Understand the formula for the circumference of a circle

The formula for the circumference of a circle is given by:

C = 2 * π * r

where C is the circumference of the circle, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. This formula expresses the relationship between the radius and the circumference of a circle.

Step 2: Substitute the radius of the circle for "r" in the formula

Let's say the radius of the circle is "r". Substitute "r" for "r" in the formula for the circumference:

C = 2 * π * r

Step 3: Divide the circumference by the radius

Now that you have the formula for the circumference, divide the circumference by the radius:

C/r = 2 * π

Step 4: Simplify the expression

The expression on the right side of the equation can be simplified to 2 times pi:

C/r = 2 * π

C/r = 2 * 3.14 = 6.28

Step 5: Conclusion

Therefore, it would take 6.28 radii laid end to end to fit exactly around the circumference of the circle.

Note: This answer is only an approximation, as the value of π is an irrational number that cannot be expressed exactly as a fraction or a decimal.

User Michele Locati
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6.8k points