All categories

3 years ago

In a circle whose radius is 12, find the area of sector, in terms of , whose central angle

Mathematics

1 answer:

Anna11 [10]3 years ago

4 0

Answer:

56.52 units² or 18π units²

Step-by-step explanation:

The formula for the area of a sector is:

A = πr²(x/360°)

where r is the radius and x is the measure of the central angle

Let's substitute the given measures into this equation:

A = πr²(x/360°)

A = (3.14)(12²)(45/360)

Solve:

A = (3.14)(12²)(45/360)

A = (3.14)(144)(45/360)

A = (452.16)(45/360)

A = (452.16)(.125)

A = 56.52

Therefore, the area of the sector is 56.52 units² or 18π units²

You might be interested in

What is 4/5 out of 60

CaHeK987 [17]

4/5 of 60 = 48. 4/5 = .80 Multiply .80 by 60 =48

8 0

3 years ago

The 13-foot string is arranged into a rectangle. Let L denote the length of the rectangle,

soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

W = $\frac{13}{2}$ - L
A = $\frac{13L - L^{2} }{2}$

The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

$\frac{13}{2}$ = L + W

So that;

W = $\frac{13}{2}$ - L

The required formula for the width as a function of L is: W = $\frac{13}{2}$ - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( $\frac{13}{2}$ - L)

= $\frac{13}{2}$ L - $L^{2}$

A = $\frac{13L - L^{2} }{2}$

The expression for the area A is: A = $\frac{13L - L^{2} }{2}$

Visit: brainly.com/question/10452031

5 0

2 years ago

Which expression is equivalent to 5 x + 10 y minus 15?

BlackZzzverrR [31]

Answer:

Step-by-step explanation

5*x=5x -----5*2=10------5*3=15

7 0

3 years ago

Kelly buys a sweater for $16.79 and a pair of pants for $28.49. She pays with a $50 dollar bill. How much change should kelly ge

snow_tiger [21]

Kelly should get back $6.72.

To get this answer, start by adding 16.79 and 28.49. The answer you should get is 45.28. Next, subtract 45.28 from 50 and your total should be 6.72. Hope this helped!

5 0

3 years ago

A sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters. Give a point est

xxTIMURxx [149]

Answer:

Point estimate for the population variance = 3.92 * $10^{-3}$ .

Step-by-step explanation:

We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters ;

X X - $Xbar$ $(X-Xbar)^{2}$

1.13 1.13 - 1.188 = -0.058 3.364 * $10^{-3}$

1.15 1.15 - 1.188 = -0.038 1.444 * $10^{-3}$

1.24 1.24 - 1.188 = 0.052 2.704 * $10^{-3}$

1.27 1.27 - 1.188 = 0.082 6.724 * $10^{-3}$

$\sum (X-Xbar)^{2}$ = 0.01568

Firstly, Mean of above data, $Xbar$ = $\frac{\sum X}{n}$ = $\frac{1.15+1.24+1.15+1.27+1.13}{5}$ = 1.188

Point estimate of Population Variance = Sample variance

= $\frac{\sum (X-Xbar)^{2}}{n-1}$ = $\frac{0.01568}{4}$ = 3.92 * $10^{-3}$ .

Therefore, point estimate for the population variance = 3.92 * $10^{-3}$ .

5 0

3 years ago

Read 2 more answers