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Question
following is shown as 62.8 m in the circle? rence 20m 314m² 10m 62.8m
Step1: Identify the formula for circumference of a circle
The formula for the circumference \( C \) of a circle is \( C = 2\pi r \) or \( C=\pi d \), where \( r \) is the radius and \( d \) is the diameter.
Step2: Analyze the given values
From the diagram, we can see that the diameter of the larger circle (or the relevant circle for the circumference 62.8 m) - let's check. If we use \( C = \pi d \), and \( \pi\approx3.14 \). Let's see, if \( C = 62.8 \) m, then \( d=\frac{C}{\pi}=\frac{62.8}{3.14} = 20 \) m, which matches the 20 m shown in the diagram (the side of the square around the circle, which would be equal to the diameter of the circle). Also, for the area, if radius \( r = 10 \) m, area \( A=\pi r^{2}=3.14\times10^{2}=314 \) \( m^{2} \), which also matches. So the circumference of the circle with diameter 20 m (radius 10 m) is calculated as follows:
Using \( C = \pi d \), with \( d = 20 \) m and \( \pi = 3.14 \), we get \( C=3.14\times20 = 62.8 \) m.
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The circumference of the circle (with diameter 20 m or radius 10 m) is 62.8 m, calculated using the formula \( C = \pi d \) (or \( C = 2\pi r \)) where \( d = 20 \) m (or \( r = 10 \) m) and \( \pi\approx3.14 \), resulting in \( C = 3.14\times20=62.8 \) m.