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Question

The area of a regular polygon is 753cm2. Find the length of OM.O is the center of the polygon.
1277871_71de9a5b72424223bbef69507ace4a36.png

A
8 cm
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B
4 cm
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C
2 cm
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D
5 cm
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Solution

The correct option is D 5 cm
ABC is an equilateral

Area=34a2=753 a2=300

a=103cm

AM=MC=1032=53cm

Area = 12×AC×BM

753=12×103×BM

BM=15cm

AOC,BOC and AOB are of equal area

ar(AOC)=13ar(ABC)=13×753=253cm2

In AOC,

ar(AOC)=12×AC×OM

253=12×103×OM

OM=5cm Ans.


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