High School

A jar lid has a diameter of 32 millimeters. What is the circumference of the lid to the nearest tenth?

A. 115.6 mm
B. 96.3 mm
C. 100.5 mm
D. 69.9 mm

Answer :

To find the circumference of a circular jar lid with a diameter of 32 millimeters, you can use the formula for the circumference of a circle:

[tex]\[ \text{Circumference} = \pi \times \text{diameter} \][/tex]

1. Identify the diameter: According to the question, the diameter of the lid is 32 millimeters.

2. Use the circumference formula: Plug the diameter into the formula:

[tex]\[ \text{Circumference} = \pi \times 32 \][/tex]

3. Use the value of [tex]\(\pi\)[/tex]: While [tex]\(\pi\)[/tex] is roughly equal to 3.141592653589793, for simplicity and commonly, [tex]\(\pi\)[/tex] is often rounded to 3.14159 when calculating.

4. Calculate the circumference: When you multiply 32 by [tex]\(\pi\)[/tex], the result will be approximately 100.53096491487338 mm.

5. Round to the nearest tenth: The closest tenth to 100.53096491487338 is 100.5.

Therefore, the circumference of the jar lid is approximately 100.5 millimeters when rounded to the nearest tenth.