The area of a circle of radius 14 units is equal to the surface area of a sphere of radius 7 units.A.TrueB.False
Question
The area of a circle of radius 14 units is equal to the surface area of a sphere of radius 7 units.
A. True
B. False
Solution
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 14 units, the area would be A = π(14)² = 196π 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 7 units, the surface area would be A = 4π(7)² = 196π square units.
Therefore, the statement "The area of a circle of radius 14 units is equal to the surface area of a sphere of radius 7 units" is True (A).
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