Answer:
D. 6.3 cm
Step-by-step explanation:
First we find the circumference of the circle. The formula for circumference is
C = 2πr
Using 3.14 for π and our value for 5, we have
C = 2(3.14)(5) = 31.4 cm
Next we find the portion of the circle represented by this sector. The angle is 72 out of 360 total degrees:
72/360 = 36/180 = 6/30 = 1/5
Multiply the circumference by this fraction:
1/5(31.4) = 6.28 ≈ 6.3 cm