Question
If the numerical value of the area of a circle is seven
times that of its circumference, determine the diameter.Solution
ATQ,
Circumference = 2 × π × r
Area = π × r²
Let radius = r units
Then, π × r² = 7 × 2 × π × r
⇒ r² = 14r
⇒ r = 14
Diameter = 2 × 14 = 28 units
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