Chapter 11.7, Problem 18PPS

To determine

To calculate the distance to the center of the moon, or radius of the moon.

Answer to Problem 18PPS

  $1,728$ kilometers

Explanation of Solution

Given information:

Circumference (c) $6790$ miles.

Formula used:

Radius(r) of a circle can be calculated using formula $r=\frac{c}{2\times \pi }$

For calculations, value of $\pi =\frac{22}{7}$ .

Calculation:

  $c=2\times \pi \times r$

Formula for calculating the circumference.

  $r=\frac{c}{2\times \pi }$

Rearranging the formula to find out the radius.

  $=\frac{6790\times 7}{2\times 22}$

Simplifying the same.

  $=1080.2$ miles.

Converting the figure from miles to kilometers.

  $=1080.2\times 1.6$ .

  $=1,728.3$

Rounding to the nearest kilometer.

  $=1,728$ kilometers.