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Fraction of a circle from sector area

Teaching Transcript

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What is the fraction of the circle if its sector area is 37.7?

We can find the area of the full circle using pi times r squared

Which would be 36 pi, or around 113.1

So our sector covers one 37.7 out of 113.1 of the circle

Which simplifies to one third of the area of the circle

This math skill teaches how to determine the fraction of a whole circle represented by a sector. It involves calculating the area of an entire circle and comparing it to the area of the sector to find the fraction.

Skill Practice

Fraction from a circle's sector area

Test your understanding of fraction of a circle from sector area by practicing it! Work through the below exercises to use it in practice.