# What is the area of a 7 inch circle?

#### Understand the Problem

The question is asking for the area of a circle with a radius of 7 inches. To solve this, we will use the formula for the area of a circle, which is A = πr², where r is the radius.

The area of the circle is $49\pi$ square inches, or approximately 153.86 square inches.

The area of the circle is $49\pi$ square inches, or approximately 153.86 square inches.

#### Steps to Solve

The radius of the circle is given as 7 inches. We will use this value in our area formula.

2. Use the area formula for a circle
The formula for the area of a circle is $A = \pi r^2$. We will substitute the radius into this formula.

3. Substitute the radius into the formula
Now we plug in the value of the radius: $$A = \pi (7)^2$$

4. Calculate $7^2$
We calculate the square of 7: $$7^2 = 49$$

5. Multiply by π
Now, we can find the area by multiplying 49 by $\pi$: $$A = 49\pi$$

6. Final calculation (using π ≈ 3.14)
If needed, we can approximate the area using $\pi \approx 3.14$: $$A \approx 49 \times 3.14 = 153.86 \text{ square inches}$$

The area of the circle is $49\pi$ square inches, or approximately 153.86 square inches.

• Forgetting to square the radius: Always remember to apply the exponent to the radius before multiplying by $\pi$.