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The circumference of a circular garden is 144.44 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer.
To find the radius of a circular garden given its circumference, you can use the formula for the circumference of a circle:
[tex]\[ C = 2 \pi r \][/tex]
Where: - [tex]\( C \)[/tex] is the circumference - [tex]\( \pi \)[/tex] (pi) is a constant approximately equal to 3.14 - [tex]\( r \)[/tex] is the radius of the circle
Given: - The circumference ([tex]\( C \)[/tex]) is 144.44 feet. - [tex]\( \pi \)[/tex] is 3.14.
You need to solve for the radius ([tex]\( r \)[/tex]).
Steps:
1. Start with the formula for the circumference of a circle: [tex]\[ C = 2 \pi r \][/tex]
2. Substitute the given values into the formula: [tex]\[ 144.44 = 2 \cdot 3.14 \cdot r \][/tex]
3. To isolate [tex]\( r \)[/tex], divide both sides of the equation by [tex]\( 2 \pi \)[/tex]: [tex]\[ r = \frac{144.44}{2 \cdot 3.14} \][/tex]
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