Given that the radius of a circular plate is 2.9 inches, what is the circumference of the plate? Use [tex]$\pi=3.14$[/tex]. Round your answer to the nearest hundredth, if necessary.
Answer (2)
Substitute the given radius r = 2.9 inches and π = 3.14 into the circumference formula C = 2 π r .
Calculate the circumference: C = 2 × 3.14 × 2.9 = 18.212 inches.
Round the result to the nearest hundredth.
The circumference of the plate is 18.21 inches.
Explanation
Problem Analysis We are given a circular plate with a radius of 2.9 inches. We need to find the circumference of the plate, using π = 3.14 . The formula for the circumference of a circle is C = 2 π r , where r is the radius.
Substitution Substitute the given values into the formula: C = 2 × 3.14 × 2.9 .
Calculation Calculate the circumference: C = 2 × 3.14 × 2.9 = 18.212 inches.
Rounding Round the result to the nearest hundredth: C ≈ 18.21 inches.
Examples
Understanding the circumference of a circle is useful in many real-world scenarios. For example, if you're planning to build a circular fence around a garden, knowing the circumference helps you determine how much fencing material you'll need. Similarly, if you're designing a circular race track, the circumference tells you the total distance a runner will cover in one lap. These calculations ensure you have the right amount of materials or can accurately measure distances in circular layouts.
The circumference of a circular plate with a radius of 2.9 inches, using π = 3.14 , is calculated to be 18.21 inches after performing the proper calculations and rounding. Key steps included substituting values into the circumference formula and performing multiplication. The final rounded value gives us the circumference of the plate.
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