Sarah asked in Science & MathematicsMathematics · 6 months ago

# 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

Relevance
• 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