Final answer:
The area of the circle with a given diameter of 6 cm is 9π cm². To calculate this, the radius (half of the diameter) is squared and then multiplied by π.
Step-by-step explanation:
To find the area of the circle, you need to know the radius. If BC is a diameter, then the radius is half of BC. Since BC = 6 cm, the radius r = 3 cm. The formula for the area of a circle is πr². Using this formula and substituting the radius:
Area = π × (3 cm)²
Area = π × 9 cm²
Area = 9π cm²
Therefore, the area of the circle with diameter 6 cm is 9π cm².