Free Printable CHAPTER 5

1.

The region that enclosed by a chord and an arc

a)

sector

b)

circumference

c)

segment

d)

radii

2.

Which are not part of circle

a)

arc

b)

pi

c)

radii

d)

theta

3.

Radius which is perpendicular to the chord bisects the chord and produce two different length

a)

true

b)

false

4.

Equal chord of the same length produce arc of same length

a)

true

b)

false

5.

The diagram shows a circle with centre O and the line MN is the chord.
Given $OK=12cm$ and $NK=16cm$ , calculate the length of $ON$

a)

$24cm$

b)

$268cm$

c)

$25cm$

d)

$20cm$

6.

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)

$50cm$

7.

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)

$\pi d$

8.

What are the value of pi, $\pi$

a)

3.142

b)

$\frac{22}{7}$

c)

3.421

d)

$\frac{7}{22}$

9.

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

a)

Cube

b)

Pythagoras Theorem

c)

Algebraic expression

d)

Newton Theorem

10.

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

a)

$85.32cm$

b)

$198.67cm$

c)

$94.26cm$

d)

$707.14cm$

11.

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

a)

$16cm$

b)

$34cm$

c)

$20cm$

d)

$17cm$

12.

Calculate the area of a circle with diameter 17cm

a)

$227.07cm^2$

b)

$908.29cm^2$

c)

$53.43cm^2$

d)

$106.86cm^2$

13.

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

a)

$1559.68cm^2$

b)

$87.98cm^2$

c)

$779.84cm^2$

d)

$389.92cm^2$

14.

Given area of a circle is $201.14cm^2$ . Calculate the circumference.

a)

$49.87cm$

b)

$402cm$

c)

$50.29cm$

d)

$6.28cm$

15.

Given a circle with radius 14 and angle at the centre of the the circle is $108\degree$ . Calculate the length of the arc of a circle.

a)

$25cm$

b)

$26.39\ cm$

c)

$47.89cm$

d)

$32.34cm$

16.

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)

$20\ cm$

17.

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)

$385mm^2$

18.

Given the area of a sector QOP is $45cm^2$ and the radius is $15cm$ . Calculate the value of $\theta$ .

a)

$35\degree$

b)

$22.92\degree$

c)

$45\degree$

d)

$22.35\degree$

19.

The diagram shows a dining hall measuring $10m$ long and $8m$ wide. It is laid with nine circular carpets, each has diameter of $200cm$ . Calculae the area that is not covered by the carpet in square metres, $m^2$ . (use $\pi=\frac{22}{7}$ )

a)

$60.45m^2$

b)

$34.78m^2$

c)

$51.71m^2$

d)

$90.23m^2$

20.

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)

$87cm$

CHAPTER 5 - CIRCLE

Total questions: 20

Worksheet time: 2hrs 4mins

Similar Resources on Wayground