All categories

2 years ago

A circle has a radius of 6 feet. Calculate the area of the sector formed by a central 30° angle

Mathematics

1 answer:

Tems11 [23]2 years ago

6 0

Answer:

The area of the sector is 9.43 ft^2

Step-by-step explanation:

Here, we want to find the area of the sector with a central angle of 30 degrees

To do this, we use the formula below;

Area of sector = theta/360 * pi * r^2

theta = central angle = 30 degrees

r = radius = 6 ft

Thus, we have it that;

Area of sector = 30/360 * pi * 6^2

= 30/10 * pi = 3 * 3.142 = 9.43 ft^2

You might be interested in

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 107°, a

Archy [21]

Answer: $105.19 \text{ square cm}$

Step-by-step explanation:

Since, by the SAS formula of finding the area of triangle,

The area of triangle, $A = \frac{1}{2}\times s_1\times s_2\times sin\theta$

Where, $s_1$ and $s_2$ are adjacent sides and $\theta$ is the included angle of these sides

Here, $s_1=22$ $s_2=10$

And, $\theta=107^{\circ}$

Thus, the area of the triangle ABC,

$A = \frac{1}{2}\times 22\times 10\times sin (107)^{\circ}$

$A = 110\times 0.95630475596$

$A = 105.193523156\approx 105.19\text { square cm}$

Therefore, Third Option is correct.

3 0

3 years ago

Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x).

Svetradugi [14.3K]

Answer:

(f-g)(x)

= -x^2 - 2x + 2

Step-by-step explanation:

(f-g)(x) means

f(x) - g(x)

= x - 2 - (x^2+3x-4)

distribute the subtraction to all three of the last terms.

= x - 2 - x^2 - 3x + 4

combine like terms

= -x^2 - 2x + 2

8 0

2 years ago

it takes emily 9 minutes to bycle 3/10 of the way to school. how many minutes does it take emily to bycycle all the way to schoo

Kryger [21]

Answer: 30 minutes

Step-by-step explanation: It takes 9 minutes to get 3/10 the way there, so just divide 9 by 3 to get 3, which is 1/10 the way there. Multiply 3 by 9 to get the remaining 9/10 and add to get a total of 30. Hope this helped!

6 0

2 years ago

Pls help I’ll mark u if ur right

lawyer [7]

Answer:

dividing by 1000

Step-by-step explanation:

3 0

2 years ago

I have a two expressions 3z-4 and 2z+5

aleksley [76]

Answer:

The answers are 3z-16 and 2z+10

Step-by-step explanation:

Do 3 x z (3z) and then do 3 x 4 (16) and then you got 3z-16

Do 2 x z (2z) and then do 2 x 5 (10) and then you got 2z + 10

6 0

3 years ago