RD Sharma Solutions: Areas Related to Circles (Exercise 12.4)

# 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:
```

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

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