PREAP Area of Sector, Area of Segment of a Circle, Length of Sector
Name ________________________________________________ Period _______
1.
A garden is in the shape of a semicircle with a diameter of 40 m.
What is the area of the garden? Use 3.14 as an approximation for 𝛑.
2.
A.
2 The diagram shows a circle with center O and a radius 42 inches. A
and B are points on the circumference such that arc AB makes an
angle 120˚.
a) Calculate the area of the sector
b) Calculate the length of arc AB.
Use 22/7 as an approximation for 𝛑
B.
3.
A.
B.
C.
3 The diagram shows a circle with center O and a radius 10 cm.
A and B are points on the circumference such that arc AB
makes an angle of 150˚ at O.
A. Calculate the area of the sector.
B. Calculate the length of the arc.
C. Calculate the area of the segment.
4.
A.
B.
5.
4 The diagram shows a circle with center O and radius 5 cm. a an
dB are points on the circumference such that arc AB makes an
angle of 3 radians at point O.
A. Calculate the length of the arc AB.
B. Calculate the area of the sector AOB.
5 A piece of metal has a shape made of a square and a
semicircle: What is the perimeter of the shape? Use (22/7) as
an approximation for 𝛑.
6.
6 This is a shape made up of four quarter-circular arcs, each of radius
5 inches, joined together: What is the area of the shape ? Use 3.14 as an
approximation for 𝛑
7.
7 A metal tool consists of a semicircle and an isosceles triangle joined
together: What area of metal is needed to make the tool?
8.
8 The shape is a square with two quarter circles cut from opposite
corners. What is the perimeter of the shape? Use 22/7 as an
approximation for π.
9.
Sector:
9A. Find the shaded area of the sector in terms of 𝛑.
B. Find the length of the arc in terms of 𝛑.
Arc Length:
90˚
10.
Sector:
Arc Length:
11.
Sector:
Arc Length:
12.
Segment:
Arc Length:
10A. Find the shaded area of the sector in terms of 𝛑.
B. Find the length of the arc in terms of 𝛑.
120˚
11 A. Find the shaded area of the sector rounded to the
thousandths place and in terms of .
B. Find the length of the arc rounded to the thousandths place and
in terms of 𝛑.
60˚
12 A. find the shaded area of the segment rounded to the
hundredths place.
B find the length of the arc rounded to the hundredths.
60˚
13.
Segment:
Arc Length:
14.
Segment:
13A. Find the shaded area of the segment rounded to the tenths
place.
B Find the length of the arc rounded to the tenths place.
10
14 A. Find the shaded area of the segment rounded to the
nearest inch.
B. Find the length of the arc rounded to the nearest inch.
120˚
Arc Length:
15
15 Find the area of the sector whose radius is 8 cm and has a
central arc of 124˚ rounded to the nearest thousandths.