Question

suppose AB, CD, EF, GH, are four equally inclined chords of a circle concurrent at an Interior point P of the circle dividing the circle into 8 parts. show that the sum of the areas of the sector like regions HOA, CPE, GPF, DPF is equal to the sum of the areas of the remaining regions APC, RPG, BPD, FPH.

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and the person would be considered best mathematician...
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Answer 1

Answer:

Hello mate..

Step-by-step explanation:

In △OMX and △ONX,

∠OMX=∠ONX=90

∘

OX=OX(common)

OM=ON where AB and CD are equal chords and equal chords are equidistant from the centre.

△OMX≅△ONX by RHS congruence rule.

∴∠OXM=∠OXN

i.e.,∠OXA=∠OXD

Hence proved.

HOPE IT WILL HELP YOU ..

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