All categories

3 years ago

A circle with radius 3 has a sector with a central angle of 60°.

Mathematics

1 answer:

victus00 [196]3 years ago

3 0

Answer:

4.71

Step-by-step explanation:

The radius of the circle is 3 and the angle of the sector is 60°.

The area of a sector is given as:

$A = \frac{\alpha }{360} * \pi r^2$

where α = central angle of sector

r = radius of circle

Hence, the area of the sector is:

$A = \frac{60}{360} * 3.14 * 3^2\\ \\A = \frac{1}{6} * 28.26\\\\A = 4.71$

The area of the sector is 4.71

You might be interested in

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz

KIM [24]

Answer:

Step-by-step explanation:

First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.

If point D divides the segment AB in the ratio m:n, then

$D\left(\dfrac{nx_A+mx_B}{m+n},\dfrac{ny_A+my_B}{m+n}\right)$

$D\left(\dfrac{3\cdot 2+5\cdot 10}{5+3},\dfrac{3\cdot (-6)+5\cdot 2B}{5+3}\right)=D(7,-1)$

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.

Thus, C(2,-1)

5 0

3 years ago

Read 2 more answers

PLEASE HELP PLEASE HELP PLEASE

WARRIOR [948]

f is given as -3

-3 is greater than -4, so use the second equation 3x-5.

replace x with -3 and calculate:

3(-3) - 5 = -9 - 5 = -14

The answer is -14.

6 0

3 years ago

Calculate the following expression. show steps<br><br> 15/7 - 2/5

aalyn [17]

15/7 x 5 and 2/5 x 7
75/35 - 14/35 = 61/35

8 0

3 years ago

Read 2 more answers

Given that (5,-8) is on the graph of f(x), find the

FinnZ [79.3K]

Answer:

The corresponding point is (3,-8)

Step-by-step explanation:

we know that

When you add a constant value (k), to the argument of a function, the graph is shifted k units to the left.

In this problem

The rule of the transformation is equal to

f(x) ------> f(x+2)

(x,y) ------> (x-2,y)

(5,-8) -----> (5-2,-8)

(5,-8) -----> (3,-8)

8 0

3 years ago

Vector u has a magnitude of 5sq rt 3 feet and is directed due west. Vector v has a magnitude

Vikki [24]

The magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively

The formula for calculating the resultant vector is expressed as:

$R^2 = u^2 + v^2\\R =\sqrt{u^2+v^2}$

Given the following distances:

u = -5√3 feet (west direction)

v = 5 feet

Substitute the given values into the formula above;

$R=\sqrt{(5\sqrt{3} )^2+5^2} \\R=\sqrt{(25 \times 3)+25}\\R=\sqrt{75 + 25}\\R=\sqrt{100}\\R = 10 feet$

The magnitude of the resultant vector is 10feet

Get the direction:

$\theta = tan^{-1}\frac{y}{x} \\\theta = tan^{-1}\frac{5}{-5\sqrt{3} }\\\theta =tan^{-1}\frac{-1}{\sqrt{3} }\\\theta = -60^0$

Since tan is negative in the second quadrant, hence;

$\theta = 180 - 60\\\theta = 120^0$

Hence the magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively.

Learn more here: brainly.com/question/5177683

7 0

3 years ago