All categories

3 years ago

central angle of a sector is 72° and the sector has an area of 16.2(pie) ft^2. what is the radius of the circle?

1 answer:

6 0

Sector area = (central angle / 360) * PI * radius^2
sector area = (72 / 360) * PI * radius^2
radius^2 = sector area / [(72 / 360) * PI]
radius^2 = 16.2 * PI / [(1 / 5) * PI]
radius^2 = 16.2 / .2
radius^2 = 81
radius = 9

Source:
http://www.1728.org/radians.htm

You might be interested in

Six boys are comparing their heights. Andy is taller than Dan but shorter than Ethan. Bill is taller than Ethan and Frank. Frank

Alexxx [7]

List of boys from tallest to shortest is: Bill, Frank, Ethan, Andy, Dan, Cory

<h3>Solution:</h3>

Given that Six boys are comparing their heights

The six boys are Andy, Dan, Ethan, Bill, Frank, Cory

To find: List the boys from tallest to shortest

Andy is taller than Dan but shorter than Ethan

So the arrangement goes like this:

Ethan

Andy

Dan

Bill is taller than Ethan and Frank:

So Bill is taller than ethan. Thus the arrangement from tall to short is made as:

Bill

Ethan

Andy

Dan

Also bill is taller than frank. So frank can be placed anywhere below bill

But given that Frank is taller than Ethan. So frank can be placed above ethan

Now the arrangement goes like this:

Bill

Frank

Ethan

Andy

Dan

Cory is shorter than Dan.

So cory can be placed below Dan.

Thus final arrangement from tallest to shortest boys are:

Bill

Frank

Ethan

Andy

Dan

Cory

5 0

3 years ago

Which term best represents the intersection of two pages of an open book?

erik [133]

A. line
it is also the intersection of a laptop keyboard and the slanted screen.

3 0

3 years ago

31% of what number is 25?

melamori03 [73]

Uhh, I think it is 80.65

Hope this helped （￣︶￣）↗　

3 0

3 years ago

Read 2 more answers

When Raphael solved the system below by using the method of elimination, he changed the second equation to -8x-2y=-2 what proper

galben [10]

For this case, what we are going to do is use the following property:
Multiply an equation by a scalar.
In this case, the scalar will be:
k = -2
We have then that equation 2 will be:
k * (4x + y) = k * 1
-2 * (4x + y) = - 2 * 1
-8x-2y = -2
Answer:
The property that justifies this manipulation is:
Multiply an equation by a scalar.

4 0

3 years ago

Find the value of x. 76

azamat

This picture is depicting a straight line, therefore all we have to do is subtract 76 from 180. You get 104

Your answer is 104 degree

3 0

3 years ago