The diameter of a circle is 25 cm. Find the circumference to the nearest tenth.
Understand the Problem
The question is asking to find the circumference of a circle given its diameter of 25 cm, using the formula for circumference which involves the diameter.
Answer
The circumference is \( 78.5 \, \text{cm} \).
Answer for screen readers
The circumference of the circle is ( 78.5 , \text{cm} ).
Steps to Solve
-
Identify the formula for circumference The formula for the circumference ( C ) of a circle is given by: $$ C = \pi d $$ where ( d ) is the diameter.
-
Substitute the diameter Given that the diameter ( d ) is 25 cm, substitute this into the formula: $$ C = \pi \times 25 $$
-
Calculate the circumference Now, using the approximate value of ( \pi ) (3.14): $$ C \approx 3.14 \times 25 $$
-
Perform the multiplication Calculate ( 3.14 \times 25 ): $$ C \approx 78.5 $$
-
Round to the nearest tenth Since we need the answer to the nearest tenth, ( C ) remains: $$ C \approx 78.5 , \text{cm} $$
The circumference of the circle is ( 78.5 , \text{cm} ).
More Information
The circumference of a circle is directly proportional to its diameter. Knowing just the diameter allows us to quickly calculate the circumference, a fundamental aspect of circular geometry.
Tips
- Not using the correct value of ( \pi ): Always use ( \pi \approx 3.14 ) or ( \pi \approx 3.14159 ) for better accuracy.
- Forgetting to round: Ensure to round correctly to the nearest tenth as specified in the problem.
AI-generated content may contain errors. Please verify critical information
