A circle has radius 9 cm. Find its circumference and area. (ref ushj9)

Answer: The circumference of the circle is 18π cm18\pi \text{ cm} and its area is 81π cm281\pi \text{ cm}^2.

Step-by-step solution

Step 1: Identify Given Information

The problem states that the radius of the circle is 9 cm9 \text{ cm}. We denote the radius by rr.

Step 2: Calculate Circumference

The formula for the circumference of a circle is C=2πrC = 2\pi r. Substituting the given radius r=9 cmr = 9 \text{ cm} into the formula, we get C=2×π×9=18π cmC = 2 \times \pi \times 9 = 18\pi \text{ cm}.

Step 3: Calculate Area

The formula for the area of a circle is A=πr2A = \pi r^2. Substituting the radius r=9 cmr = 9 \text{ cm} into the formula, we get A=π×(9)2=81π cm2A = \pi \times (9)^2 = 81\pi \text{ cm}^2.

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