Chapter 11.2, Problem 43E

To determine

To find: thedifference between the circumference of the both circle in the given option.

Answer to Problem 43E

  $50.27\text{inches}$ .

Explanation of Solution

Given:

AB is the diameter of the smaller circle.

AC is the diameter of the larger circle.

Distance from point B to C in the given figure is $16inches$ .

The rotation of circular saw at the rate of $2400$ revolution per second.

Calculation:

The circumference of the circle is given by $C=\pi d$ .

Then, the circumference of the smaller circle is $C=\pi \times 16=50.26\text{inch}$

And the circumference of the larger circle is $C=\pi \times 32=100.53\text{inch}$

Thus,the difference between the circumference of the circle is $100.53-50.26=50.27\text{inches}$ .

Hence, the difference between the circumference of the circleis $50.27\text{inches}$ .