Question
The numerical value of the area of a circular park is ten
times the numerical value of its perimeter. Find the diameter of the park.Solution
ATQ,
Perimeter (circumference) = 2 Γ Ο Γ r
Area = Ο Γ rΒ²
Let radius = r units
Ο Γ rΒ² = 10 Γ 2 Γ Ο Γ r
β rΒ² = 20r
β r = 20
Diameter = 2 Γ 20 = 40 units
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