Geometry Online!
Name __________________________________________
PRACTICE – Circles – Circumference & Area – G.11c.1
Date _________Period ______
 Circumference: ___________________________________________________
Formula:
A
Ex: Find the circumference of circle B.
B
 Arc Length: ______________________________________________________
Formula:
3 cm
C
A
Ex: Find the arc length of arc AC.
72
B
2 cm
 Area: ___________________________________________________________
A
Formula:
Ex: Find the area of circle B.
B
C
3 cm
 Area of a Sector: _______________________________________
A
Formula:
Ex: Find the area of the sector.
B
Practice Problems:
1. Radius = 4
65o
3 cm
C
Find: a) Diameter:
b) Circumference:
c) Area:
2. Radius = 11.2
Find: a) Diameter:
b) Circumference:
c) Area:
3. Diameter = 22
Find: a) Radius:
b) Circumference:
c) Area:
1
C
Geometry Online!
Name __________________________________________
PRACTICE – Circles – Circumference & Area – G.11c.1
4. Circumference = 100
Date _________Period ______
Find: a) Radius:
b) Diameter:
c) Area:
5.
Circumference = 50.26
Find: a) Radius:
b) Diameter:
c) Area:
6. Circumference = 100
Find: a) Radius:
b) Diameter:
c) Area:
7. Circumference = 12.5
Find: a) Radius:
b) Diameter:
c) Area:
--------ARC PROBLEMS--------
8.
Radius = 10
Arc Angle= 60o
Find: a) Arc Length:
b) Sector Area:
9.
Radius = 2
Arc Angle= 110o
Find: a) Arc Length:
b) Sector Area:
2
Geometry Online!
Name __________________________________________
PRACTICE – Circles – Circumference & Area – G.11c.1
10.
Radius = 6
Arc Angle= 210o
Date _________Period ______
Find: a) Arc Length:
b) Sector Area:
------MORE PROBLEMS------11. Find the area of the given circle.
12.
Find the area of the sector of a circle with r= 8 and an arc angle= 80o
13.
Find the circumference of the given circle.
14. Find the length of an arc with a radius of 4 and an arc angle of 115o
3
Geometry Online!
Name __________________________________________
PRACTICE – Circles – Circumference & Area – G.11c.1
15.
Date _________Period ______
A circular garden is divided into 6 equal sections.
The radius of the garden is 13 feet. Find the area of one of the sections.
16. Find the radius of a circle with an area of 120.
17. Find the angle of a sector with an area of 30 and radius 4.
18. A pepperoni pizza (with radius 8 inches) is divided into 8 equal slices. If the entire
pizza was eaten except for three of the pizza bones (the crust of the slice), the find the
length of this leftover crust.
19. Given: Three concentric circles with center O. ̅̅̅̅
Calculate the area of the shaded region?
̅̅̅̅
̅̅̅̅̅
4
Geometry Online!
Name __________________________________________
PRACTICE – Circles – Circumference & Area – G.11c.1
Date _________Period ______
20. The Center of the circle is R.
What is the circumference of circle R, according to the following picture?
21. The radius of the circle shown below is 20 cm. What is the area of the shaded sector?
22. The area of the sector is 68 sq. ft. Calculate the Arc angle given that the radius of the
circle is 8 feet.
23. Calculate the area of the shaded region, given that WP = 36 cm.
24. Find the area of each shaded region to the nearest tenth.
a.
b.
5