Homework Practice

Printable assignment

Areas Related to Circles Practice 3: Composite Figures and Applications

Section A: Reasoning

Question 1mcq

Which approach best matches the skill: find area of segment for 120°?

A.Ignore whether the answer needs square units

B.Identify the required region or boundary first, then apply the matching circle formula.

C.Use circle area for every question

D.Use circumference for every shaded region

Question 2mcq

Which approach best matches the skill: find area of combined circular figures?

A.Identify the required region or boundary first, then apply the matching circle formula.

B.Use circle area for every question

C.Use circumference for every shaded region

D.Ignore whether the answer needs square units

Question 3mcq

Which approach best matches the skill: find perimeter of circular plane figures?

A.Use circle area for every question

B.Use circumference for every shaded region

C.Ignore whether the answer needs square units

D.Identify the required region or boundary first, then apply the matching circle formula.

Question 4mcq

Which approach best matches the skill: solve real-life area problems involving circles?

A.Use circumference for every shaded region

B.Ignore whether the answer needs square units

C.Identify the required region or boundary first, then apply the matching circle formula.

D.Use circle area for every question

Question 5mcq

Which approach best matches the skill: use π approximations appropriately?

A.Ignore whether the answer needs square units

B.Identify the required region or boundary first, then apply the matching circle formula.

C.Use circle area for every question

D.Use circumference for every shaded region

Section B: Mixed Practice

Question 6mcq

Which approach best matches the skill: avoid confusing arc, sector and segment?

A.Identify the required region or boundary first, then apply the matching circle formula.

B.Use circle area for every question

C.Use circumference for every shaded region

D.Ignore whether the answer needs square units

Question 7mcq

In a second review item, find the circumference of a circle of radius

7

cm using

\pi=\frac{22}{7}

154

22

49

44

Question 8mcq

Find the arc length for radius

14

cm and central angle

180^\circ

using

\pi=\frac{22}{7}

28

180

44

14

Question 9mcq

Find the sector area for radius

21

cm and angle

120^\circ

using

\pi=\frac{22}{7}

42\text{ cm}^2

462\text{ cm}^2

462

441\text{ cm}^2

Question 10mcq

In a second review item, a sector has radius

7

cm and arc length

11

cm. What is its perimeter?

25

18

77

14