The area of the circle formed when the plane passes through the center of the given sphere is: 15π cm².
What is the Area of a Circle?
Area of a circle = πr² (radius of the circle = r).
Given the following:
- Radius of sphere = 8 cm
- Distance of the plane from the center of the sphere = 7 cm
Radius of the circle = √((radius of sphere)² - (distance of the plane from the center of sphere²)) = √(8² - 7²)
Radius of the circle = 3.87 cm
Area of the circle = π(3.87²) ≈ 15π cm².
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