Fostering Friendships - Enhancing Social Bonds in the Classroom
Arc Length And Area of a Sector
1.
2. Q. What is an arc ?
A
B
Answer
An arc is a fraction
of the circumference.
minor arc
major arc
3. Q. Find the circumference of the circle .
Solution
C D
3.14 20C
62.8C cm
10cm
4. 45
(3.14 12)
360
o
o
arc length
length 4.71arc cm
Arc length
πD
Central angle
360o
=
Q. What is the length of the minor arc XY below ?
6 cm
45
o
x
y
360
o
connection
5. 60
(3.14 18)
360
o
o
arc length
length 9.42arc cm
Arc length
πD
Central angle
360o
=
Q. What is the length of the minor arc AB below ?
9 cm
60
o
A
B
connection
6. 260
(3.14 20)
360
o
o
arc length
length 45.38arc cm
Arc length
πD
Central angle
360o
=
Q. What is the length of the major arc PQ below ?
10 m
100
o
A
B
connection
260
o
8. Q. What is the area of the circle ?
Solution
2
A r
2
3.14 10A
2
314A cm
10cm
9. 245
Area of Sector (3.14 6 )
360
o
o
2
Area Sector 14.14 cm
Area Sector
πr2
Central angle
360o
=
What is the area of the minor sector XY below ?
6 cm
45
o
x
y
360
o
connection
10. 260
Area Sector (3.14 9 )
360
o
o
2
Sector 42.41Area cm
Area Sector
πr2
Sector angle
360o
=
Q. What is the area of the minor sector AB below ?
9 cm
60
o
A
B
connection
11. 2260
Sector Area (3.14 10 )
360
o
o
2
Area Sector 226.89 cm
Sector Area
πr2
Central angle
360o
=
Q. What is the area of the major sector PQ below ?
10 m
100
o
A
B
connection
260
o
12.
13. 7.07
360
(3.14 18)
o o
x
45
o o
x
Arc length
πD
Central angle
360o
=
Q. The arc length is 7.07cm. Find the angle xo
9 cm
x
o
A
B
connection
14. o
2
235.62
x 360
(3.14 10 )
o
o
x 270
o
Sector Area
πr2
Central angle
360o
=
Q. Find the angle given area of sector AB is 235.62cm2 ?
10 m
A
B
connection
x
o