Areas Related to Circles (Exercise 12.4) RD Sharma Solutions | Mathematics (Maths) Class 10 PDF Download

 Page 1


I. AB is a chord of a circle with centre O and radius 4cm. AB is length 4cm and divides circle 
imo two segments. Find the area of minor segment 
Sol: 
Radius of circle r = 4cm = OA = OB 
Length of chord AB = 4cm 
OAB is equilareral uiangle LAOB = 60
°
-, 6 
Angle suibreuded ar ceuu·e 6 = 60
° 
Area of segment (shaded region)= (area of sector) - (area of MOB) 
= ...!!_ X TTr
2 
= :!!. (side)
2 
360
0- 4 
=? X?X4X4 =-!l. x4x4 
360 7 4 
= £! _ 4./3 = 58.67 - 6.92 = 51.75 cm
2 
3 
2. A chord ofci.
r
cle of radius 14cm makes a 1ighr angle ar rile ce1me. Find rhe areas of minor 
and major segments of rl1e circle. 
Sol:
Page 2


I. AB is a chord of a circle with centre O and radius 4cm. AB is length 4cm and divides circle 
imo two segments. Find the area of minor segment 
Sol: 
Radius of circle r = 4cm = OA = OB 
Length of chord AB = 4cm 
OAB is equilareral uiangle LAOB = 60
°
-, 6 
Angle suibreuded ar ceuu·e 6 = 60
° 
Area of segment (shaded region)= (area of sector) - (area of MOB) 
= ...!!_ X TTr
2 
= :!!. (side)
2 
360
0- 4 
=? X?X4X4 =-!l. x4x4 
360 7 4 
= £! _ 4./3 = 58.67 - 6.92 = 51.75 cm
2 
3 
2. A chord ofci.
r
cle of radius 14cm makes a 1ighr angle ar rile ce1me. Find rhe areas of minor 
and major segments of rl1e circle. 
Sol:
Page 3


I. AB is a chord of a circle with centre O and radius 4cm. AB is length 4cm and divides circle 
imo two segments. Find the area of minor segment 
Sol: 
Radius of circle r = 4cm = OA = OB 
Length of chord AB = 4cm 
OAB is equilareral uiangle LAOB = 60
°
-, 6 
Angle suibreuded ar ceuu·e 6 = 60
° 
Area of segment (shaded region)= (area of sector) - (area of MOB) 
= ...!!_ X TTr
2 
= :!!. (side)
2 
360
0- 4 
=? X?X4X4 =-!l. x4x4 
360 7 4 
= £! _ 4./3 = 58.67 - 6.92 = 51.75 cm
2 
3 
2. A chord ofci.
r
cle of radius 14cm makes a 1ighr angle ar rile ce1me. Find rhe areas of minor 
and major segments of rl1e circle. 
Sol:
Page 4


I. AB is a chord of a circle with centre O and radius 4cm. AB is length 4cm and divides circle 
imo two segments. Find the area of minor segment 
Sol: 
Radius of circle r = 4cm = OA = OB 
Length of chord AB = 4cm 
OAB is equilareral uiangle LAOB = 60
°
-, 6 
Angle suibreuded ar ceuu·e 6 = 60
° 
Area of segment (shaded region)= (area of sector) - (area of MOB) 
= ...!!_ X TTr
2 
= :!!. (side)
2 
360
0- 4 
=? X?X4X4 =-!l. x4x4 
360 7 4 
= £! _ 4./3 = 58.67 - 6.92 = 51.75 cm
2 
3 
2. A chord ofci.
r
cle of radius 14cm makes a 1ighr angle ar rile ce1me. Find rhe areas of minor 
and major segments of rl1e circle. 
Sol:
Page 5


I. AB is a chord of a circle with centre O and radius 4cm. AB is length 4cm and divides circle 
imo two segments. Find the area of minor segment 
Sol: 
Radius of circle r = 4cm = OA = OB 
Length of chord AB = 4cm 
OAB is equilareral uiangle LAOB = 60
°
-, 6 
Angle suibreuded ar ceuu·e 6 = 60
° 
Area of segment (shaded region)= (area of sector) - (area of MOB) 
= ...!!_ X TTr
2 
= :!!. (side)
2 
360
0- 4 
=? X?X4X4 =-!l. x4x4 
360 7 4 
= £! _ 4./3 = 58.67 - 6.92 = 51.75 cm
2 
3 
2. A chord ofci.
r
cle of radius 14cm makes a 1ighr angle ar rile ce1me. Find rhe areas of minor 
and major segments of rl1e circle. 
Sol: