the radius of a circle with centre p is 10cm if chord AB of the circle substences a right angle at p find areas of the minor and the major segment
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1
Step-by-step explanation:
Area of segment APBA = area of sector OAPB−area of ΔOAB
=
360
0
θ
×πr
2
−
2
1
×OB×OA
=
360
0
90
0
×
7
22
×10×10−
2
1
×10×10
=
7
550
−50=
7
550−350
=
7
200
=28.5cm
2
Area of major segment = πr
2
−28.5=
7
22
×10×10−28.5
=
7
2200
−28.5=
7
2200−199.5
=
7
200.5
= 285.5 cm
2
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