trig help?

In a circle of radius 8, the length of the arc that subtends a central angle of 13π19 radians is __________

.

The area of the sector subtended by that central angle is _____________

Update:

13π/19

2 Answers

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  • alex
    Lv 7
    6 months ago

    Rules

    Length L = rθ

    Area = (1/2)r^2 θ

  • 6 months ago

    13π/19 ?

    rule: arc = circumference x angle/2π

    the circumference of the circle is 16π

    the arc is (16π)(13π/19) / (2π)

    or 104π/19

    or 17.20 approx.

    rule: area = πr² x angle/2π

    area = (π64)(13π/19) / (2π)

    area = 68.78 square units

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