Question

d = 14.6 mm
circumference =
area =

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 14.6\space mm \), so \( r=\frac{d}{2}=\frac{14.6}{2}=7.3\space mm \).

Step2: Calculate the circumference

The formula for the circumference \( C \) of a circle is \( C = \pi d \) (or \( C = 2\pi r \)). Using \( d = 14.6\space mm \) and taking \( \pi\approx3.14 \), we have \( C=3.14\times14.6 = 45.844\space mm \).

Step3: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substituting \( r = 7.3\space mm \) and \( \pi\approx3.14 \), we get \( A = 3.14\times(7.3)^{2}=3.14\times53.29 = 167.3306\space mm^{2} \).

Answer:

circumference \( = 45.844\space mm \)
area \( = 167.3306\space mm^{2} \)