Question

the diameter of a circle measures 10 mm. what is the area (or circumference, likely area or circumference is missing but context implies a circle measurement problem) of the circle? use 3.14 for π, and do not round your answer. include the correct unit in your answer. (there is a circle image with diameter labeled 10 mm)

Explanation:

Assuming the question is to find the circumference (since the diameter is given and it's a common circle - related calculation).

Step1: Recall the formula for circumference

The formula for the circumference \( C \) of a circle is \( C=\pi d \), where \( d \) is the diameter.

Step2: Substitute the given values

We know that \( d = 10\space mm \) and \( \pi=3.14 \). Substituting these values into the formula, we get \( C = 3.14\times10 \).

Step3: Calculate the result

\( 3.14\times10=31.4 \)

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter. So \( r=\frac{d}{2} \). Given \( d = 10\space mm \), then \( r=\frac{10}{2}=5\space mm \).

Step2: Recall the formula for area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \).

Step3: Substitute the values

Substitute \( \pi = 3.14 \) and \( r = 5\space mm \) into the formula. We get \( A=3.14\times5^{2} \).

Step4: Calculate the result

First, calculate \( 5^{2}=25 \). Then \( 3.14\times25 = 78.5 \).

Answer:

\( 31.4\space mm \)

If the question was to find the area, here is the solution: