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 × π × r
Area = π × r²
Let radius = r units
π × r² = 10 × 2 × π × r
⇒ r² = 20r
⇒ r = 20
Diameter = 2 × 20 = 40 units
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