Circles

1103077206

Level:

The circumference of a semicircle is

10 cm

. Find its radius.

\frac{10}{π + 2} cm

\frac{10}{π} cm

\sqrt{\frac{10}{π}} cm

\frac{10}{π + 1} cm

1103077205

Level:

A farmer has a fenced rhombus shaped garden with a side length of

4 m

. At one corner where the angle between the sides is

60^{\circ}

the farmer tied a goat (see the picture). Of what length has to be the rope so that the goat grazes down exactly half the area of the garden? Round the result to one decimal place.

3.6 m

3.2 m

4.1 m

2.9 m

1103077204

Level:

Given a circle, the length of the chord

A B

16 cm

and the height

v

of the corresponding circular segment is

5 cm

(see the picture). Calculate the area of the segment. Round the result to two decimal places.

57.29 {cm}^{2}

55.12 {cm}^{2}

47.12 {cm}^{2}

63.12 {cm}^{2}

1103077203

Level:

The tip of a minute hand is at distance of

15 mm

from the clock centre. Calculate the length of the path the tip travels in

42

minutes. Round the result to two decimal places.

65.97 mm

94.20 mm

35.27 mm

72.12 mm

1103077202

Level:

Let

A B C D E F

be a regular hexagon. Six circles of equal radii are drawn touching each other with their centres at the hexagon vertices (see the picture). Calculate the area of the coloured region inside the hexagon if you know that the perimeter of the hexagon

A B C D E F

36 cm

. Round the result to two decimal places.

36.98 {cm}^{2}

93.53 {cm}^{2}

65.26 {cm}^{2}

25.37 {cm}^{2}

1103077201

Level:

The flower bed has the shape of a circle sector of radius

3 m

with central angle

75^{\circ}

. Calculate the area of this flower bed. Round the result to two decimal places.

5.89 m^{2}

1.96 m^{2}

11.78 m^{2}

9.34 m^{2}

1103256903

Level:

In isosceles triangle

A B C

| A B | = 8 cm

| B C | = | A C | = 6 cm

. Determine what percentage of the triangle area is a circle that is inscribed in it. Round the result to full percentages.

56 %

48 %

62 %

64 %

1103256902

Level:

The cucumber field has the shape of an isosceles right triangle. The length of its legs is

12 m

. Rotary sprinklers placed in its vertices have a reach of

6 m

. Find the area of the field that is not sprinkled with water. Round the result to two decimal places.

15.45 m^{2}

41.10 m^{2}

16.29 m^{2}

15.25 m^{2}

1103256901

Level:

The farmer tied two goats on the meadow. The distance of the stakes

K_{1}

K_{2}

to which the goats are tied is

5 m

and the ropes have lengths of

3 m

and

4 m

. What is the area of the grassland which is common for both goats? Round the result to two decimal places.

6.64 m^{2}

0.57 m^{2}

0.35 m^{2}

1.52 m^{2}

1103021613

Level:

A circle is inscribed in a rhombus

A B C D

. The touching points of the circle and the rhombus divide each side into two parts that are

12 dm

and

25 dm

long. (See the picture.) Find the measure of the angle

C A B

. Round the result to two decimal places.

{34.72}^{\circ}

{43.85}^{\circ}

{46.15}^{\circ}

{23.14}^{\circ}

« first
‹ previous
…
2
3
4
5
6
7
8
9
10
next ›
last »

1103077206

1103077205

1103077204

1103077203

1103077202

1103077201

1103256903

1103256902

1103256901

1103021613

Events

Akce

Interests

Zajímavosti

About portal

O portálu