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surface_area_sphere = 4 × π × radius_sphere² = π × (2 × radius_sphere)²

area_circle = π × radius_circle²

These are equal when:

π × radius_circle² = π × (2 × radius_sphere)²

→ radius_circle² = (2 × radius_sphere)²

→ radius_circle = 2 × radius_sphere

As the given circle has a radius of 14 units and the given sphere has a radius of 7 units, and 14 = 2 × 7, it is true that the area of a circle with a radius of 14 units is the same as the surface area of a sphere with a radius of 7 units.

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