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A circle has a circumference of 21.98 inches. What is the diameter of the circle? (Use

3.14 for )

User Ifschleife
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1 Answer

5 votes

Answer:

Explanation:

The formula for the circumference of a circle is C = 2 * π * r, where r is the radius of the circle. We can find the radius of the circle by rearranging the formula to r = C / (2 * π).

Substituting the given values into the formula, we get:

r = 21.98 inches / (2 * 3.14) = 21.98 inches / 6.28 = 3.50 inches

The diameter of the circle is equal to twice the radius, so we can find the diameter by multiplying the radius by 2:

d = 2 * r = 2 * 3.50 inches = 7.00 inches.

To find the diameter of a circle with a given circumference, you can use the following steps:

Define the formula for the circumference of a circle: The circumference of a circle is given by the formula C = 2πr, where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Substitute the given circumference into the formula: If the circumference of the circle is 21.98 inches, we can substitute that into the formula to get 21.98 = 2πr.

Solve for the radius: To solve for the radius, we can divide both sides of the equation by 2π: 21.98 / 2π = r. Using 3.14 for π, this gives us 21.98 / (2 * 3.14) = r, which can be simplified to r = 2.01 inches.

Calculate the diameter: The diameter of a circle is twice the radius, so the diameter can be calculated as 2 * r = 2 * 2.01 = 4.02 inches.

So, the diameter of the circle with a circumference of 21.98 inches is 4.02 inches.

User Clauric
by
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