Chapter 11.7, Problem 1BGP

To determine

To calculate: The circumference of the circle with diameter $5.1\text{ mm}$ .

Answer to Problem 1BGP

The circumference of the circle with diameter $5.1\text{ mm}$ is $\text{16}\text{.02 mm}$ .

Explanation of Solution

Given information:

The diameter of the circle as $5.1\text{ mm}$ .

Formula used:

The circumference C of a circle with diameter d is $\pi d$ units.

Calculation:

Consider the provided diameter of the circle as $5.1\text{ mm}$ .

Recall that circumference C of a circle with diameter d is $\pi d$ units.

Therefore, circumference C of circle with diameter as $5.1\text{ mm}$ is,

  $\begin{array}{c}C=\pi \times 5.1\text{ mm}\\ \text{=16}\text{.02212 mm}\end{array}$

Round off the result obtained to nearest tenth,

  $\begin{array}{c}C=\pi \times 5.1\text{ mm}\\ \text{=16}\text{.02212 mm}\\ \approx \text{16}\text{.02 mm}\end{array}$

Thus, the circumference of the circle with diameter $5.1\text{ mm}$ is $\text{16}\text{.02 mm}$ .