give me the answer .
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2πr²
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As we know in regular hexagon, interior angles are 120
So A = B= C= D= E= F= 120
NOW area of one sector = pie r^2/360 × 120
= pie R^2/3
So area of 6 sectors = 6 × pie r^2/3
= 2 pie r^2
27)In OAC and OCD
D is point on circle where normal and tangent making 90 ( I forgot to write there)
A = D= 90
OC = OC
OA = OD
SO SAS
SO OAC ~ OCD
SO <ACO = <OCD = theta/2
IN OAC
sin theta/2 = OA/OC = a/OC
OC = a/sin theta/2
in OBC
sin ¶( its phie I am taking as O) = OB/OC
sin¶ = OB/a/sin theta/2
sin¶ = OB sin theta/2)/ a
a sin¶ = OB sin theta/2
OB = a sin¶ / sin theta/2
= a sin¶ cosec theta/2
So A = B= C= D= E= F= 120
NOW area of one sector = pie r^2/360 × 120
= pie R^2/3
So area of 6 sectors = 6 × pie r^2/3
= 2 pie r^2
27)In OAC and OCD
D is point on circle where normal and tangent making 90 ( I forgot to write there)
A = D= 90
OC = OC
OA = OD
SO SAS
SO OAC ~ OCD
SO <ACO = <OCD = theta/2
IN OAC
sin theta/2 = OA/OC = a/OC
OC = a/sin theta/2
in OBC
sin ¶( its phie I am taking as O) = OB/OC
sin¶ = OB/a/sin theta/2
sin¶ = OB sin theta/2)/ a
a sin¶ = OB sin theta/2
OB = a sin¶ / sin theta/2
= a sin¶ cosec theta/2
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Hope it helps you... This is 25 no. S answer...
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