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anonymous

  • one year ago

help!!

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  1. anonymous
    • one year ago
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    a. What is the area and circumference of circle ? Explain how you calculated this answer. b. If the arc measure of arc is and the arc measure of arc is , what is the angle measure of angle ? Explain how you calculated this answer.

  2. anonymous
    • one year ago
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  3. anonymous
    • one year ago
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    help

  4. mathstudent55
    • one year ago
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    |dw:1440991530530:dw|

  5. mathstudent55
    • one year ago
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    |dw:1440991692683:dw|

  6. mathstudent55
    • one year ago
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    Can you find the length of DR?

  7. mathstudent55
    • one year ago
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    4 * 4.5 = 3 * (DR) What is DR?

  8. anonymous
    • one year ago
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    dont know

  9. mathstudent55
    • one year ago
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    3x = 4 * 4.5 Solve for x. Can you do that?

  10. anonymous
    • one year ago
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    6

  11. mathstudent55
    • one year ago
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    Right. The equation we have for your problem is the same, except the length of the segment DR was used instead of x. 4 * 4.5 = 3 * (DR) 18 = 3(DR) 3DR = 18 DR = 6 |dw:1441031456087:dw|

  12. mathstudent55
    • one year ago
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    Now notice that chord BD passes through the center of the circle, point P, so chord BD is a diameter. The length of diameter BD is the sum of the lengths of segments BR, 3, and DR, 6. Once you know the diameter of the circle, you can find the circumference of the circle and the area of the circle. \(\large C = \pi d = 2 \pi r\) \(\large A = \pi r^2\) Use the diameter multiplied by pi to find the circumference of the circle. Then divide the diameter by 2 to find the radius. Square the radius and multiply by pi to find the area.

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