Free Printable Chapter 5 Circle

1.

Which are not part of circle

a)

arc

b)

pi

c)

radii

d)

theta

2.

Calculate the circumference of a circle, if radius, $r=15cm$

a)

$85.32cm$

b)

$198.67cm$

c)

$94.26cm$

d)

$707.14cm$

3.

Given circumference of a circle is $106.83cm$ , calculate the radius of the circle in cm.

a)

$16cm$

b)

$34cm$

c)

$20cm$

d)

$17cm$

4.

Given circumference is 70cm, calculate the area of a circle.

a)

$1559.68cm^2$

b)

$87.98cm^2$

c)

$779.84cm^2$

d)

$389.92cm^2$

5.

The diagram below shows a circle with center O and radius $21\ mm$ . Calculate the area of the minor sector MON.

a)

$432mm^2$

b)

$356mm^2$

c)

$245mm^2$

d)

$385mm^2$

6.

The diagram shows a right-angled triangle, PRT. R is the centre for the quadrant. Given $RS=14cm$ , $ST=10cm$ and $PQ=4cm$ . Calculate the perimeter of the shaded area in cm. (use $\pi=\frac{22}{7}$ )

a)

$66cm$

b)

$76cm$

c)

$56cm$

d)

$87cm$

7.

Given the length of the arc of a circle is $14.14\ cm$ and the angle at the centre of the circle is $45\degree$ . Calculate in cm the radius of the circle.

a)

$18\ cm$

b)

$15\ cm$

c)

$14\ cm$

d)

$20\ cm$

8.

Calculate the area of a circle with diameter 17cm

a)

$227.07cm^2$

b)

$908.29cm^2$

c)

$53.43cm^2$

d)

$106.86cm^2$

9.

$a^2+b^2=c^2$ is known as

a)

Cube

b)

Pythagoras Theorem

c)

Algebraic expression

d)

Newton Theorem

10.

What are the value of pi, $\pi$

a)

3.142

b)

$\frac{22}{7}$

c)

3.421

d)

$\frac{7}{22}$

11.

Which is the formula for finding the circumference of a circle

a)

$\frac{\theta}{360\degree}\times2\pi r$

b)

$\pi r^2$

c)

$\frac{\theta}{360\degree}\times\pi r^2$

d)

$\pi d$

12.

In the diagram on the right, O is the centre of the circle.
MNOP and KNL are the straight lines.
Given that $MN=16cm$ and $NP=36cm$ . Calculate the length of $KL$ .

a)

$67.85cm$

b)

$48cm$

c)

$8.31cm$

d)

$50cm$

13.

Equal chord of the same length produce arc of same length

a)

true

b)

false

14.

Name the shaded region STU

a)

Minor arc

b)

Chord

c)

Minor segment

d)

Minor sector

15.

Name the part O.

a)

segment

b)

centre

c)

diameter

d)

radius

16.

In the diagram , UPQR is a semicircle with UTSR as the diameter. PQST is a rectangle.

Given PQ =16 cm and PT= 15 cm, find the length of UT.

a)

17 cm

b)

9 cm

c)

10 cm

d)

8 cm

17.

Find the measure of arc JKL

a)

72 degrees

b)

108 degrees

c)

210 degrees

d)

252 degrees

18.

Which of the following is the chord?

a)

LM

b)

AE

c)

AC

d)

ED

19.

This is a circumference; the perimeter of a circle. What's the formulae?

a)

Circumference $=2\pi r$

b)

Circumference $=2\pi d$

20.

Find the length of minor arc AB, correct to two decimal places.
(Use $\pi$ = 3.142)

a)

56.56

b)

65.98

c)

395.89

d)

9.43

21.

Find the area of the sector, rounding your answer to one decimal place.

a)

176.7cm²

b)

156.7cm²

c)

23.6cm²

d)

88.4cm²

22.

The figure shows a circle inside a triangle. Which equation could be used to find the area of the shaded region?

a)

A = ½bh - 2πr

b)

A = ½bh - πd

c)

A = πr² - ½bh

d)

A = ½bh - πr²

23.

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?

a)

31.25 m²

b)

29.55 m²

c)

30.36 m²

d)

28.28 m²

24.

Diagram shows two semicircles with diameter PQ

and OQ respectively. O is the centre of the semicircle having

diameter PQ. Given the perimeter of the shaded region is 82 cm, find the length of OP.

mc

a)

28.70 cm

b)

12.70 cm

c)

14.35

d)

13.56 cm

25.

If you are going to paint the entire center circle of a basketball court, do you need to know the area or circumference of the circle?

a)

Area

b)

Circumference

c)

Neither

Chapter 5 Circle

Total questions: 25

Worksheet time: 13mins

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