What are the area and perimeter of the sector of the circle shown? C is the center.

Question

anonymous · Answer

@DelTaVsPi

anonymous · Answer

attachment

anonymous · Answer

Okay so lets find Area first :)

anonymous · Answer

|dw:1445566767204:dw|

anonymous · Answer

Considering that this is a quarter of a circle, we have to take into account that it is important !

anonymous · Answer

So lets begin!

anonymous · Answer

sounds good!

anonymous · Answer

What I would do first is to establish the formula

anonymous · Answer

find length X width

anonymous · Answer

which equals 9

anonymous · Answer

$$A = \frac{\theta }{ 360 }\times \pi \times r^2$$

anonymous · Answer

no no don't do that, we can't really just time those lengths together

anonymous · Answer

Okay so, what do you think the radius is to this diagram?

anonymous · Answer

3?

anonymous · Answer

or. 95

anonymous · Answer

yes that's right, it's kind of self-explanatory hahaXD

anonymous · Answer

Anyways...

anonymous · Answer

How many degrees is this circle?

anonymous · Answer

360

anonymous · Answer

wait was r 3?

anonymous · Answer

Since it is a quarter of a circle
The entire circle has 360 degrees, so that means a quarter of a circle is 90 degrees
---
Thus, the degree is 90 Degrees :)

anonymous · Answer

Now we can substitute everything into the formula!

anonymous · Answer

$$A = \frac{ 90 }{ 360 } \pi \times(3)^2 = 7.068$$

anonymous · Answer

is is 7.065?

anonymous · Answer

this is the area, that I've calculated for you:)

anonymous · Answer

We can now solve the perimeter now!

anonymous · Answer

The formula of the circumference of the circle is given by: C = $$C = 2\pi \times r$$

anonymous · Answer

However, we have to still consider that this diagram is this a quarter, sooooo that means that it is a quarter we are dealing with here. Hence. the perimeter of the diagram is given by$$Perimeter = 2\pi \times(3) + 3 + 3 = 10.71$$

anonymous · Answer

my thing is saying thats wrong...

anonymous · Answer

Times that by a quarter by the way

anonymous · Answer

Sorry let me type it up again :)

anonymous · Answer

thank you

anonymous · Answer

$$P = 1/4 x 2\pi \times(3) + 3 + 3 = 10.712$$

anonymous · Answer

that "x" is times

anonymous · Answer

awesome! your so smart!

anonymous · Answer

can you help with one more? ill tag you

anonymous · Answer

Yeah sure no problem!

anonymous · Answer

okay i tagged you for my next question

anonymous · Answer

Also id there is anything you don't understand, please ask me, so that I can explain to you :)

anonymous · Answer

no it was all right.