The document contains questions and solutions about arcs, circles, and sectors. It defines an arc as a fraction of a circle's circumference. It provides examples of calculating arc lengths given the central angle and circle circumference. It also gives examples of finding sector areas by treating them as fractions of the total circular area and using the central angle and radius.

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 4.71arc 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 9.42arc 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 45.38arc 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

7. A
B
minor sector
major sector

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 42.41Area 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

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

15.  Retrieved from
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71865,d.aGc September 27, 2013