It takes $20$ millilitres to paint the surface of the circular sheet of radius $50 c m$ . How much paint is required to paint a similar circular sheet with double the radius?

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Solution

Ratio of their radii $= 1 : 2$
$∴$ Ratio of their areas $= 1 : 4$
i.e., the area of the circle with double the radius becomes four times the area of the smaller circle.
$∴$ quantity of paint required
$= 4 \times 20$ millilitres $= 80 m l$

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It takes 20 millilitres to paint the surface of the circular sheet of radius 50cm. How much paint is required to paint a similar circular sheet with double the radius?

Ratio of their radii=1:2∴ Ratio of their areas =1:4i.e., the area of the circle with double the radius becomes four times the area of the smaller circle.∴ quantity of paint required=4×20 millilitres =80ml

It takes $20$ millilitres to paint the surface of the circular sheet of radius $50 c m$ . How much paint is required to paint a similar circular sheet with double the radius?

Ratio of their radii $= 1 : 2$
$∴$ Ratio of their areas $= 1 : 4$
i.e., the area of the circle with double the radius becomes four times the area of the smaller circle.
$∴$ quantity of paint required
$= 4 \times 20$ millilitres $= 80 m l$