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Dallasb22

  • 3 years ago

In a circle of radius 10 cm, a sector has an area of 40(pi) sq. cm. What is the degree measure of the arc of the sector?

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  1. Freyes
    • 3 years ago
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    pi r ^2 = 100 pi

  2. Freyes
    • 3 years ago
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    with r = 10

  3. Freyes
    • 3 years ago
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    so it's 40/100

  4. Freyes
    • 3 years ago
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    40/100 = x/360

  5. Freyes
    • 3 years ago
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    solve for x

  6. Dallasb22
    • 3 years ago
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    1/4

  7. Dallasb22
    • 3 years ago
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    oh ok.

  8. Freyes
    • 3 years ago
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    360 * 40

  9. Freyes
    • 3 years ago
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    then divide by 100 then you get your angle

  10. Dallasb22
    • 3 years ago
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    144?

  11. Freyes
    • 3 years ago
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    mhm

  12. Dallasb22
    • 3 years ago
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    1.44?

  13. Freyes
    • 3 years ago
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    you just take what you know.. put it in a formula and solve

  14. Freyes
    • 3 years ago
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    no 144

  15. Freyes
    • 3 years ago
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    360 times 40 = 14400

  16. Freyes
    • 3 years ago
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    then divide by 100

  17. Dallasb22
    • 3 years ago
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    OH

  18. Dallasb22
    • 3 years ago
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    Thank you again!

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