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How much is the area of a circle with a diameter of 5cm than a circle with a diameter of 2 cm?
Wiki User
∙ 12y ago
The ratio of areas is the square of the ratio of the sides.
Ratio of sides is 5:2, so ratio of areas is 52:22 = 25:4
So the larger circle has an area that is 25/4 = 61/4 (= 6.25) times the area of the smaller circle.
The difference in areas is given by taking the area of the smaller circle from the area of the larger circle.
area_circle = π x radius2
radius = diameter/2
larger_area = π x (5/2)2 cm2
smaller_area = π x (2/2)2 cm2
⇒ difference = larger_area - smaller_area
= (π x 25/4 - π) cm2
= 21π/4 cm2
≈ 16.49 cm2
Wiki User
∙ 12y ago
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