Free Printable Arc Length and Perimeter of a SECTOR

1.

Which of the following shows the correct working out when finding the ARC LENGTH of the sector shown in the diagram?

a)

$\frac{45}{360}\times\left(2\times12\right)$

b)

$\frac{45}{360}\times\left(2\times\pi\times12\right)$

c)

$45\times2\times\pi\times12$

d)

$\frac{360}{45}\times\left(2\times\pi\times12\right)$

2.

What is the ARC LENGTH of the sector shown in the diagram - correct to one decimal place?

a)

75.4

b)

4.7

c)

3.0

d)

9.4

3.

Which of the following shows the correct working out when finding the AREA of the SECTOR shown in the diagram?

a)

$\frac{45}{360}\times\left(\pi\times12\right)$

b)

$\frac{45}{360}\times\left(2\times\pi\times12\right)$

c)

$\frac{45}{360}\times\pi\times12^2$

d)

$\frac{360}{45}\times\left(2\times\pi\times12^2\right)$

4.

What is the AREA of the SECTOR shown in the diagram - correct to one decimal place?

a)

9.4

b)

56.5

c)

50.3

d)

18

5.

Which of the following shows the correct working out when finding the ARC LENGTH of the sector shown in the diagram?

a)

$\frac{135}{360}\times\left(2\times8\right)$

b)

$\frac{135}{360}\times\left(\pi\times8\right)$

c)

$135\times2\times\pi\times8$

d)

$\frac{135}{360}\times\left(2\times\pi\times8\right)$

6.

What is the ARC LENGTH of the sector shown in the diagram - correct to one decimal place?

a)

18.8 yd

b)

75.4 yd

c)

6.0 yd

d)

134.0 yd

7.

Which of the following shows the correct working out when finding the AREA of the SECTOR shown in the diagram?

a)

$\frac{135}{360}\times\left(\pi\times8\right)$

b)

$\frac{135}{360}\times\left(\pi\times8^2\right)$

c)

$\frac{135}{360}\times2\times\pi\times8$

d)

$\frac{135}{360}\times\left(2\times\pi\times8^2\right)$

8.

What is the AREA of the SECTOR shown in the diagram - correct to one decimal place?

a)

$9.4\ yd^2$

b)

$67.0\ yd^2$

c)

$150.8\ yd^2$

d)

$75.4\ yd^2$

9.

Explain the difference between calculating the ARC LENGTH and finding the AREA of a SECTOR?

4 lines

10.

After completing this Quiz, which of the following statements best describe your performance on this quiz:

a)

I found it EASY because I knew which FORMULA to use.

b)

I found it OK because I got MOST of the questions correct.

c)

I got a bit CONFUSED with the FORMULAS for ARC LENGTH and AREA of a SECTOR.

d)

I got most of the questions INCORRECT and I'm not sure what is meant by the ARC LENGTH or the AREA of a SECTOR.

Arc Length and Perimeter of a SECTOR

Total questions: 10

Worksheet time: 30mins

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