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The diameter of a circle is 16.8 cm . What is the circumference of the circle? Give your answer to 1 d.p.

Ask by Hamilton Best. in the United Arab Emirates
Mar 12,2025

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Tutor-Verified Answer

Answer

The circumference of the circle is approximately 52.8 cm.

Solution

To find the circumference of a circle, we can use the formula: \[ C = \pi \times d \] where: - \( C \) is the circumference of the circle, - \( \pi \) is a mathematical constant approximately equal to 3.14159, - \( d \) is the diameter of the circle. Given that the diameter of the circle is 16.8 cm, we can substitute this value into the formula to find the circumference. \[ C = \pi \times 16.8 \] Now, we can calculate the circumference using the value of \( \pi \) and the given diameter. Calculate the value by following steps: - step0: Calculate: \(\pi \times 16.8\) - step1: Reorder the terms: \(16.8\pi \) - step2: Simplify: \(52.778757\) The circumference of the circle is approximately 52.78 cm to 1 decimal place.

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The Deep Dive

To find the circumference of a circle, you can use the formula \( C = \pi \times d \), where \( d \) is the diameter. Given that the diameter is 16.8 cm, you can calculate it as follows: \( C = \pi \times 16.8 \approx 52.8 \) cm when you round to one decimal place. Fun fact: The value of \( \pi \) is approximately 3.14, but it actually has an infinite number of digits and goes on forever! Ancient civilizations like the Egyptians and Babylonians had their versions of \( \pi \), making it a number that's been loved and calculated for thousands of years. Did you know that knowing the circumference helps in so many real-world scenarios? For example, when designing a circular park, builders need to calculate the fencing required, or when crafting a circular pizza, pizzerias rely on this number to determine the right amount of dough to prepare. What a delicious way to apply math!

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