To find the circumference of a circle given its diameter, you can use the formula:
[tex]\[ C = \pi \times d \][/tex]
where [tex]\( C \)[/tex] is the circumference, [tex]\( \pi \)[/tex] (pi) is a constant approximately equal to 3.14159, and [tex]\( d \)[/tex] is the diameter of the circle.
Let's go through the steps:
1. Identify the diameter of the circle. Given:
[tex]\[ d = 49 \text{ cm} \][/tex]
2. Use the formula for circumference:
[tex]\[ C = \pi \times d \][/tex]
3. Substitute the diameter into the formula:
[tex]\[ C = 3.14159 \times 49 \][/tex]
4. Calculate the result:
[tex]\[ C \approx 153.93804002589985 \text{ cm} \][/tex]
5. To find the circumference to the nearest tenth, round the calculated value:
[tex]\[ 153.93804002589985 \approx 153.9 \text{ cm} \][/tex]
Thus, the circumference of the circle to the nearest tenth is approximately [tex]\( 153.9 \text{ cm} \)[/tex].
