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In Mathematics / High School | 2025-07-03

Find the circumference of a circle with a radius of 6 units. Round your answer to two decimal places.
A. 113.10 units
B. 18.85 units
C. 75.40 units
D. 37.70 units

Asked by nyomi389

Answer (2)

Recall the formula for the circumference of a circle: C = 2 π r .
Substitute the given radius r = 6 into the formula: C = 2 π ( 6 ) = 12 π .
Calculate the circumference using π ≈ 3.14159 : C ≈ 12 × 3.14159 ≈ 37.69908 .
Round the result to two decimal places: C ≈ 37.70 ​ units.

Explanation

Problem Analysis We are given a circle with a radius of 6 units. Our goal is to find the circumference of this circle and round the answer to two decimal places.

Recall the Circumference Formula 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 3.14159,
r is the radius of the circle.


Substitute the Given Radius We are given that the radius r = 6 units. Substituting this value into the formula, we get:

C = 2 π ( 6 )
C = 12 π

Calculate the Circumference Now, we need to approximate the value of 12 π . Using the approximation π ≈ 3.14159 , we have:

C = 12 × 3.14159 ≈ 37.69908
Alternatively, using the python calculation tool, we find that 12 π ≈ 37.69911184307752 .

Round to Two Decimal Places We need to round the calculated circumference to two decimal places. So,

C ≈ 37.70 units.

State the Final Answer Therefore, the circumference of the circle with a radius of 6 units, rounded to two decimal places, is approximately 37.70 units.

Examples
Imagine you're designing a circular garden and need to determine how much fencing to buy. Knowing the radius of the garden, you can calculate the circumference to find the exact length of fencing required. This ensures you purchase the right amount of materials, saving time and money. For example, if your garden has a radius of 6 meters, the circumference (and thus the fencing needed) would be approximately 2 × π × 6 ≈ 37.70 meters.

Answered by GinnyAnswer | 2025-07-03

The circumference of a circle with a radius of 6 units is calculated using the formula C = 2 π r . Substituting the radius gives C = 12 π , which approximates to 37.70 units when rounded to two decimal places. So the correct answer is D. 37.70 units.
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Answered by Anonymous | 2025-07-04

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