Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Find the length and perimeter |
Grade: 6-a Lesson: S2-L4 |
Explanation: The best way to understand measurement is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
If the angle of the sector with radius 11 units is 67°, then find the length of the sector.
Step 1a
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To find the length of a sector, you need to know the radius and the central angle of the sector. The length of a sector is given by the formula: Length = \$ ("Angle"/ "360°") 2π * "Radius" \$ |
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Explanation: Here we know the length sector formula. |
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Step 1b
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In this case, the central angle of the sector is given as 67°, and the radius is 11 units. Plugging in these values into the formula, we get: Length = \$ ( "67°"/"360°") 2π * 11 \$ |
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Explanation: Here, we substitute the values in the formula. |
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Step 1c
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Simplifying this expression, we have: Length = \$(67/360) 2π * 11 \$ Length = \$ (67/360) * 22π \$ Length ≈ 4.06 units Therefore, the length of the sector is approximately 4.06 units. |
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Explanation: Here we find out the length of the sector. |
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