In the diagram below, what is the approximate length of the minor arc ab? a. 7.9 cmb. 5.2 cmc. 3.1 cmd. 6.3 cm

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

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870