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Answer :
To determine the radius of a circle given its circumference, we use the formula for the circumference of a circle:
[tex]C = 2 \times \pi \times r[/tex]
Where:
- [tex]C[/tex] is the circumference,
- [tex]\pi[/tex] is a mathematical constant approximately equal to 3.14,
- [tex]r[/tex] is the radius we need to find.
In this problem, we are given:
[tex]C = 157 \, \text{cm}[/tex]
To find the radius [tex]r[/tex], we need to rearrange the formula:
[tex]r = \frac{C}{2 \times \pi}[/tex]
Substitute the given value of [tex]C[/tex] and the approximate value of [tex]\pi[/tex] into the equation:
[tex]r = \frac{157}{2 \times 3.14}[/tex]
Calculate the denominator:
[tex]2 \times 3.14 = 6.28[/tex]
Now, divide the circumference by this value:
[tex]r = \frac{157}{6.28} \approx 25 \, \text{cm}[/tex]
Thus, the radius of the circle is approximately 25 cm.
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