The radius of a circle is 6 cm what is it circumference and area
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Step-by-Step Solution
Step 1: Identify Given Information
We are given that the radius of the circle, denoted by $r$, is $6 \text{ cm}$. This is the primary piece of information needed to calculate the circumference and area.
Step 2: Calculate Circumference
The formula for the circumference of a circle is $C = 2\pi r$. We substitute the given radius $r = 6 \text{ cm}$ into this formula to find the circumference. Multiplying $2$ by $6$ gives $12$, so the circumference is $12\pi \text{ cm}.
Step 3: Calculate Area
The formula for the area of a circle is $A = \pi r^2$. We substitute the given radius $r = 6 \text{ cm}$ into this formula. Squaring $6$ gives $36$, so the area is $36\pi \text{ cm}^2.