Homework Practice

Printable assignment

Areas Related to Circles Practice 2: Segments and Sector Perimeter

Section A: Skill Practice

Question 1mcq

A circular park of radius

21

m has a

120^\circ

sector used for flowers. What fraction of the park is used?

\frac{1}{2}

\frac{2}{3}

\frac{1}{4}

\frac{1}{3}

Question 2mcq

Which value of

\pi

is usually convenient when the radius is

14

cm?

\sqrt2

10

\frac{22}{7}

3

Question 3mcq

A student finds sector area when the question asks for arc length. What is the mistake?

A.They found a length in square units

B.They confused a region measure with a boundary length

C.They used the right value of

\pi

D.They correctly found perimeter

Question 4mcq

Find the area of a circle of radius

7

cm using

\pi=\frac{22}{7}

154\text{ cm}^2

44\text{ cm}^2

49\text{ cm}^2

22\text{ cm}^2

Question 5mcq

Find the arc length for radius

21

cm and central angle

60^\circ

using

\pi=\frac{22}{7}

21

42

60

22

Section B: Application

Question 6mcq

Find the sector area for radius

14

cm and angle

90^\circ

using

\pi=\frac{22}{7}

196\text{ cm}^2

28\text{ cm}^2

154\text{ cm}^2

154

Question 7mcq

Which approach best matches the skill: find perimeter of a sector?

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 8mcq

Which approach best matches the skill: understand minor and major segments?

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 9mcq

Which approach best matches the skill: find area of segment for 60°?

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 10mcq

Which approach best matches the skill: find area of segment for 90°?

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