Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Circumference of a circle |
Grade: 6-a Lesson: S2-L2 |
Explanation: The best way to understand geometry is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
The perimeter of a rectangular wire is 246 m. The same wire is bent into the shape of a circle. Find the radius of the circle formed using the circumference formula.
Step 1a
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We know that, Perimeter of a circle = Circumference of a circle The circumference of a circle is 246 m. |
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Explanation: We know that the perimeter of a circle is equal to its circumference. Given that the circumference of a circle is 246 m. |
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Step 1b
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We know that the Circumference of a circle formula: C = 2πr Now plug the values into the formula: 246 = \$2\times 3.14\r\$ 246 = 6.28r |
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Explanation: We know the formula for the circumference of a circle: C = 2πr. If we plug in the values, we get 246 = \$2 \times 3.14 \times r\$, which simplifies to 246 = 6.28r. |
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Step 1c
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The radius value can be calculated as follows: r = \$246/6.28\$ After performing the division, we get the value of r as 39.17. |
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Explanation: In this step, we need to divide 246 by 6.28 to calculate the radius. The value of r is 39.1. |
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Step 1d
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So, the radius of the circle is 39.17 m. |
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Explanation: The radius of the circle is 39.17 m. |
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