# 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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- billrussell42Lv 76 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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