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given OP=OQ=10cm
it is known that tangents drawn from an external point to a circle are equal in length
so,
OP=OQ=10cm
therefore, triangleABC is aa equilateral triangle
<POQ=60
now,
area of PAQP =area of the sector - area of the equilateral triangle POQ
= <POQ/360*pir2-root3/4*(10)2
=60/360*pi(10)2-root3/4*(10)2
=100[pi-root3]
6 4
area of the semicircle on diameter PQ= area of PAQP + area of semicircle
=1*pi(5)2 = 25pi sq units
2 2
therefore , area of the shaded region
= 25pi - 100[pi-root3]
2 6 4
= 25pi - 100pi + 25root3
2 6
=25root3-25pi
6
=25[root3 - pi]
6
hope u understand this :)
it is known that tangents drawn from an external point to a circle are equal in length
so,
OP=OQ=10cm
therefore, triangleABC is aa equilateral triangle
<POQ=60
now,
area of PAQP =area of the sector - area of the equilateral triangle POQ
= <POQ/360*pir2-root3/4*(10)2
=60/360*pi(10)2-root3/4*(10)2
=100[pi-root3]
6 4
area of the semicircle on diameter PQ= area of PAQP + area of semicircle
=1*pi(5)2 = 25pi sq units
2 2
therefore , area of the shaded region
= 25pi - 100[pi-root3]
2 6 4
= 25pi - 100pi + 25root3
2 6
=25root3-25pi
6
=25[root3 - pi]
6
hope u understand this :)
lakshmi10166:
Thanks assthha
Answered by
1
happy republic day i think it help you
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