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Regular pentagons are inscribed in two c...

Regular pentagons are inscribed in two circles of radius `5 `and `2` units respectively. The ratio of their areas is

Text Solution

Verified by Experts

The correct Answer is:
`25 : 4`
`Delta_(1) = (5R_(1)^(2))/(2) sin 72^(@)`
`Delta_(2) = (5R_(2)^(2))/(2) sin 72^(@)`
`rArr (Delta_(1))/(Delta_(2)) = (25)/(4)`
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  • Area of a circle of radius ‘n’ units is

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    ` 2 pi r^(p) ` sq. units
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