If the diameter of a circle is 14 cm, what is the area of the circle?

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Question: If the diameter of a circle is 14 cm, what is the area of the circle?

Options:

Correct Answer: 196 cm²

Solution:

The radius r = diameter/2 = 14/2 = 7 cm. The area A = πr² = π(7)² = 49π ≈ 154 cm².

If the diameter of a circle is 14 cm, what is the area of the circle?

If the diameter of a circle is 14 cm, what is the area of the circle?

Step 1: Identify the diameter of the circle, which is given as 14 cm.
Step 2: Calculate the radius by dividing the diameter by 2. So, radius r = 14 cm / 2 = 7 cm.
Step 3: Use the formula for the area of a circle, which is A = πr².
Step 4: Substitute the radius into the formula. So, A = π(7 cm)².
Step 5: Calculate (7 cm)², which is 49 cm².
Step 6: Now, multiply by π. So, A = 49π cm².
Step 7: If needed, approximate π as 3.14 to find a numerical value. So, A ≈ 49 * 3.14 ≈ 154 cm².

Circle Geometry – Understanding the relationship between diameter, radius, and area of a circle.
Area Calculation – Applying the formula for the area of a circle, A = πr².