The radius of a circle is 6 cm what is it circumference and area

Answer: The circumference of the circle is 12π cm12\pi \text{ cm} and the area is 36π cm236\pi \text{ cm}^2.

Step-by-step solution

Step 1: Identify Given Information

We are given that the radius of the circle, denoted by rr, is 6 cm6 \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=2πrC = 2\pi r. We substitute the given radius r=6 cmr = 6 \text{ cm} into this formula to find the circumference. Multiplying 22 by 66 gives 1212, so the circumference is 12π cm12\pi \text{ cm}.

Step 3: Calculate Area

The formula for the area of a circle is A=πr2A = \pi r^2. We substitute the given radius r=6 cmr = 6 \text{ cm} into this formula. Squaring 66 gives 3636, so the area is 36π cm236\pi \text{ cm}^2.

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