The formula for the circumference of a circle is C = 2π r. Substituting the given radius r = 6 cm into the formula, we get C = 2 × π × 6, which simplifies to 12π cm.

The formula for the area of a circle is A = π r². Substituting the given radius r = 6 cm into the formula, we get A = π × (6)², which simplifies to 36π cm².

The radius of a circle is 6 cm. What is its 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 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 $C = 2\pi r$ . Substituting the given radius $r = 6 \text{ cm}$ into the formula, we get $C = 2 \times \pi \times 6$ , which simplifies to $12\pi \text{ cm}$ .

Step 3: Calculate Area

The formula for the area of a circle is $A = \pi r^2$ . Substituting the given radius $r = 6 \text{ cm}$ into the formula, we get $A = \pi \times (6)^2$ , which simplifies to $36\pi \text{ cm}^2$ .