Find the area of a circle with radius 7 cm

Step 1: Recall the formula for the area of a circle

The area of a circle is the space enclosed within its boundary. It is calculated using the formula $A = \pi r^2$, where $A$ is the area, $\pi$ (pi) is a mathematical constant approximately equal to $3.14159$ or $\frac{22}{7}$, and $r$ is the radius of the circle.

Step 2: Substitute the given values

We are given that the radius $r = 7 \text{ cm}$. We will use the common approximation for $\pi$, which is $\frac{22}{7}$. Substitute these values into the area formula.

Step 3: Calculate the area

First, calculate the square of the radius: $7^2 = 49$. Then, multiply this by $\frac{22}{7}$. The $7$ in the denominator will cancel out with one of the $7$ s from $49$ (since $49 = 7 \times 7$), leaving $22 \times 7$.

Step 4: Final calculation

Perform the final multiplication: $22 \times 7 = 154$. The area is expressed in square centimeters.

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