In fig. 7, are shown two arcs paq and pbq. arc paq is a part of circle with centre o and radius op while arc pbq is a semi-circle drawn on pq as diameter with centre m. if op = pq = 10 cm show that area of shaded region is
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Answered by
13
Area of first semicircle
A = pi/2 r^2
= 157.14
Area of circle
a = pi* 100
= 314.28
Thus total area
T = A + a
= 314.28 + 157.14
= 471.42
A = pi/2 r^2
= 157.14
Area of circle
a = pi* 100
= 314.28
Thus total area
T = A + a
= 314.28 + 157.14
= 471.42
Answered by
33
here your answer
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OP=PQ=QO=10cm
Triangle POQ is an equilateral triangle
therefore angle POQ =60°
Ar.of segment =PAQM
= theta/360πr²-√3/4a²
=60/360π×10²-√3/4×10²
=10²[π/6-√3/4]
=[100π/6-100√3/4] cm²
Ar. of semicircle π/2(5)²
=25π/2cm²
Ar. of shaded region =25π/2-(50π/3-25√3)
=25π/2+25√3
=25π/6+25√3
=25(√3-π/6) cm²
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I Hope it will help u
____________________
PLS MARK AS BRAINLIST
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OP=PQ=QO=10cm
Triangle POQ is an equilateral triangle
therefore angle POQ =60°
Ar.of segment =PAQM
= theta/360πr²-√3/4a²
=60/360π×10²-√3/4×10²
=10²[π/6-√3/4]
=[100π/6-100√3/4] cm²
Ar. of semicircle π/2(5)²
=25π/2cm²
Ar. of shaded region =25π/2-(50π/3-25√3)
=25π/2+25√3
=25π/6+25√3
=25(√3-π/6) cm²
____________________
I Hope it will help u
____________________
PLS MARK AS BRAINLIST
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