exercise UTS second semeste

1.       Segment is the area of circle which is bounded by …

a.       two radius and arc

b.      a chord and an arc in front of the chord

2.       Find the circumference of the circles having the following radii of 7 cm!

a.       44 cm

b.      154 cm

3.       The area of a circle with a circumference of 132 cm is….

a.      42 cm²

b.      1386 cm²

4.        The area of shaded region is ….

a.       (128 - 16π)cm²

b.      (128 - 32π) cm²

5.       The distance of the travels is 6600 cm, then the diameter of wheel is 21 cm. Find the rotation of the wheel!

a.       200 full turn                b. 100 full turn

6.      

A wheel has a radius 10.5 cm, if the wheel rotates 400 full turns, the distance it travels is …

a.       2640 m                          b. 264 m

7.       The perimeter of the shaded figure shown is …

a.       22 cm                            b. 11 cm

8.       Look at the figure below!

 

a.       84 cm

b.      42 cm

9.       Which of the statements below is correct?

a.       The central angle and inscribed angle facing the same arc, the size of inscribed angle is two times of the size of central angle

b.      Inscribed angles which face the same arc have equal angular size

Look at the figure below!

 

10.   The size of angle ADC is …

a.       75⁰                  b. 300⁰

11.   The size of angle ABC is …

a.       75⁰                  b. 105⁰

12.    The value of x is …

a.       180⁰   b.      90

13.    Look at the figure below!The value of y is ...a.       64⁰   b.      32⁰

14.   Look at the figure below!The value of x and y are ....

a.       137⁰ and 118⁰

b.      117⁰ and 98⁰

15. Look at the figure below!

If the size of angle ROQ = 118⁰

                           angle POS = 72⁰

Then the size of angle REQ and angle SER are …

a.       108⁰ and 72⁰

b.      85⁰ and 95⁰

16.   Look at the figure below!

The value of p is …

a.       50^o

b.      70^o

17.  Look at the figure below! The value of y^o is …

a.       70^o

b.      80^o

18.   Look at the figure below!

Given the area of sector BOC 60 cm²

Find the area of sector AOC!

a.       80^o

b.      90^o

19.   Look this picture!

 

If given radius of circle is 12 cm

The area of sector OST is…

a.       48π cm²

b.      24π cm²

20.   The length of AB is ….

a.       16 cm

b.      18 cm

Look this picture!

 AB = CB is tangent line, if given OC = 30 cm and BC = 40 cm.

21.   Find the area of kite OABC!

a.       600 cm²

b.      1200 cm²

22.   Find the length of the chord CA is ….

a.       24 cm

b.      48 cm

23.   The radii of two circles are 5 cm and 3 cm respectively. If the length of the inner common tangent is 15 cm, then the distance between their centres is …

a.       11, 7 cm                b. 17 cm

24.   Look this picture!

If given MN = 30 cm, then

 the length of PQ is …

a.       20 cm

b.      18 cm

25.   The length of outer common tangent line is 16 cm. If the distance of the central of circles is 20 cm and the radius of small circle is 4 cm.  Find the radius of big circle!

a.       6 cm

b.      8 cm

26.   Mr. Tsugie will make a model of an outer common tangent. He has prepared 2 different circle with radii of 14 cm and 50 cm and used a piece of wire 48 cm in length. The distance between the centers of the two points is … a. 52                                 b. 60

27.     If given the radii is 10 cm. The length of string to tie up the circles is …

a.       151, 4 cm

b.      122,8 cm

28.   In triangle PQR, PQ = PR = 10 cm and QR = 12 cm. the radius of the circumcircle of triangle PQR is …

a.       6,25

b.      12,5

29.   The side lengths of triangle are 28, 15, and 11 cm. If the radius of the incircle is 7 cm, then the area of the triangle is …

a.       189 cm²

b.      170 cm²

30.   Given triangle PQR, if angle P = 90^o. The length of PQ = 8 cm and QR = 10 cm. Find the shaded area of triangle!

a.       12, 57 cm²

b.      11,44 cm²