Question
The area of a circle is nine times its circumference
(numerically). What is the diameter of the circle?Solution
ATQ,
Circumference = 2 × π × r
Area = π × r²
Let radius = r units
Then, π × r² = 9 × 2 × π × r
⇒ r² = 18r
⇒ r = 18
Diameter = 2 × 18 = 36 units
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