Question
A circle has its area eleven times greater than its
circumference in numeric value. Find the circle’s diameter.Solution
ATQ,
Circumference = 2 × π × r
Area = π × r²
Let radius = r units
π × r² = 11 × 2 × π × r
⇒ r² = 22r
⇒ r = 22
Diameter = 2 × 22 = 44 units
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