Find the complete perimeter of the sector that intercepts arc ac.

round to the nearest hundredth.

To answer, determine first the length of the arc intercepted by the angle which measures 45°. 

Calculate for the circumference of the circle with the equation,
    C = 2πr
where C is circumference and r is radius. Substitute the known value for r,
    C = 2π(7) = 43.98

Then, multiply the obtained value by the ratio of the angle intercepted and the whole revolution. 
    Arc = 43.98 x (45°/360°)
    Arc = 5.5 

The whole perimeter of the sector includes the arc and 2 radii. Hence, the equation for the whole perimeter is,
   Perimeter = Arc + 2r
Substituting the values,
   Perimeter = (5.5) + 2(7)
   Perimeter = 19.50

ANSWER: 19.50 units

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