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17 September, 16:30

The wheels on the bicycle are circles. The diameter of the large wheel is 3 times longer than the small wheel. How many times greater is the area of the larger circle than the area of the smaller circle

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  1. 17 September, 16:48
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    The area of the larger circle is 9 times greater than that of the smaller circle.

    Step-by-step explanation:

    Let d be the diameter of the smaller circle and d be the diameter of the larger circle. If d₁ = 3d

    Since Area of a circle A = πd²/4 ⇒ A ∝ d²

    Let A be the area of the smaller circle and A₁ be the area of the larger circle.

    So, A₁/A = d₁²/d² = (3d) ²/d² = 9

    A₁/A = 9

    A₁ = 9A

    So the area of the larger circle is 9 times greater than that of the smaller circle.
  2. 17 September, 16:53
    0
    9 times greater

    Step-by-step explanation:

    Let radius of small circle b r

    radius of big circle = 3 * (r) = 3r

    Area of small circle = πr²

    Area of big circle = π (3r) ² = 9πr²

    How many times area of big circle is larger = 9πr² / πr² = 9
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