Answer:
True
Explanation:
Given: Statement :"The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units"
We have to choose whether the given statement s true or false.
Consider the given statement.
The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units
We first find the area of circle with 14 units radius and area of a sphere with 7 units radius and compare the two values.
We know,
Area of circle =

given : r = 14 units
So, Area of circle =
Simplify, we have,
Area of circle =
units²
Now,
Area of sphere =

given : r = 7 units
So, Area of sphere =
Simplify, we have,
Area of sphere =
units²
Since, Area of circle with radius 14 units is equal to the area of sphere with radius 7 units.
Thus, The given statement is true.