The area of a circle of radius 12 units is equal to the surface area of a sphere of radius 6 units.A.TrueB.False
Question
The area of a circle of radius 12 units is equal to the surface area of a sphere of radius 6 units.A.TrueB.False
Solution 1
The area of a circle is given by the formula A = πr², where r is the radius of the circle. So, for a circle with radius 12 units, the area would be A = π(12)² = 144π square units.
The surface area of a sphere is given by the formula A = 4πr², where r is the radius of the sphere. So, for a sphere with radius 6 units, the surface area would be A = 4π(6)² = 144π square units.
Therefore, the statement "The area of a circle of radius 12 units is equal to the surface area of a sphere of radius 6 units" is True (A).
Solution 2
The area of a circle is given by the formula A = πr², where r is the radius of the circle. So, for a circle with radius 12 units, the area would be A = π(12)² = 144π square units.
The surface area of a sphere is given by the formula A = 4πr², where r is the radius of the sphere. So, for a sphere with radius 6 units, the surface area would be A = 4π(6)² = 144π square units.
Therefore, the statement "The area of a circle of radius 12 units is equal to the surface area of a sphere of radius 6 units" is True (A).
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