All categories

4 years ago

A circle with circumference 6 has an arc with a 20º central angle.

Mathematics

1 answer:

Ray Of Light [21]4 years ago

4 0

Answer:

length of an arc =1 /3 unit or 0.3unit

Step-by-step explanation:

to calculate the length of an arc, having it in mind that the arc is a portion of the circumference of a circle.

circumference of a circle = 6unit

Ф = 20°

recall,

the formulae for finding the length of an arc

= 2πr(Ф/360)

assuming that r is the radius of the circle

so, the circumference of a circle is given to be = 2πr

6 = 2πr

r = (6/2π)

length of an arc = 2πr(Ф/360)

remember that r = (6/2π)

length of an arc = 2π(6/2π) [20°/360°]

length of an arc = 6 × 20°/360°

length of an arc = 120°/360°

length of an arc = 1/3unit

You might be interested in

Abelardo had 3 bags of apples. He gave 2 to his best friend, he gave 3 to his brother, and he fed 1 to his horse. On the way hom

dimaraw [331]

Answer:

number of apples he originally had in each bag was 14 apples

Step-by-step explanation:

We are told that he had 3 bags of apples.

Now, let amount of apples in one bag be x.

Thus, total amount of apples is 3x.

We are told he gave 2 apples to his best friend, he gave 3 to his brother, and he fed 1 to his horse.

This means total given out = 2 + 3 + 1 = 6 apples.

Then, on the way home, he was chased by some dogs and dropped 1 bag.

Thus, amount of apples dropped is 1x = x

Thus;

Amount left on getting home after the entire giving and dropping is;

3x - 6 - x = 2x - 6

Now,we are told that he had 22 apples left when he got home.

Thus;

2x - 6 = 22

2x = 22 + 6

2x = 28

x = 28/2

x = 14 apples

Thus, number of apples he originally had in each bag was 14 apples

6 0

3 years ago

Find the area of the figure to the nearest square unit 3 cm and 8 cm

Scorpion4ik [409]

The area of the given composite figure is 74.24cm^2

<h3>Area of composite figure</h3>

The figure is made up of semi circle and rectangle

Area = area of semicircle + Area of rectangle

Area = 3.14(4)^2 + 3(8)

Area = 50.24 + 24

Area. = 74.24cm^2

Hence the area of the given composite figure is 74.24cm^2

Learn more on area of composite figures here: brainly.com/question/21135654

#SPJ1

7 0

2 years ago

The sum of two consecutive integers is at most 45. What is the larger integer?

alina1380 [7]

22 + 23 = 45
Largest would be 23

4 0

3 years ago

If u= and v=<3cos45degree,3sin45degree> find the direction of u+v. Put in degrees and round to the nearest tenth.

bija089 [108]

Answer:

54.0°

Step-by-step explanation:

We have that:

u=<cos 30°, 4sin30°>

This implies that:

u=<½√3, 2>

Also, v=<3cos 45°, 3sin 45°>

v=<3√2/2, 3√2/2>

u+v=<2.99,4.12)

The direction of u+v, is the angle, it makes with the positive x-axis.

This is given by;

$\theta = { \tan}^{ - 1} ( \frac{y}{x} )$

$\theta = { \tan}^{ - 1} ( \frac{4.12}{2.99} )$

$\theta = 54.03$

To the nearest tenth, the direction is 54.0°

8 0

3 years ago

6 The manufacturer of an oven states that the

Len [333]

Result, Rachel can be certain that the temperature is suitable for her cake.

7 0

3 years ago