Question

how do you find the area the shaded region in a circle?

Answer 1

depends on the shaded regions; does it look like a peice of pie? or a trianlge? or a piece of pie that has the tip cut off? or

Answer 2

It looks like a pie with a piece missing .

Answer 3

The angle of the missing piece is 30 degrees

Answer 4

area will be 30/360 x pi r^2

Answer 5

This will be the area of the missing pie

So area of left pie will be 320/360 x pi r^2 where r is radius of circle

Answer 6

convert 30 to radians; pi/6

now just use the area of a sector; \({\pi\over6}*{1\over2}* r^2\)

Answer 7

so the area of the shaded region is 25.12?

Answer 8

the area of the shaded region is:

2pi - what I gave you

Answer 9

@amistre
Why do we need to convert to radians
angle/360 x pi r^2 will give the area

Answer 10

we got no idea what your radius is

Answer 11

the radius is 3

Answer 12

\[angle * \frac{\pi}{180}\] is the conversion; not 360 right?

Answer 13

pi r^2 = area circle;

(360/360) pi r^2 .... i spose it works :)

Answer 14

25.12 is correct

Answer 15

In India we use the formula tht i used

Answer 16

no conversion is required

Answer 17

well, you still convert; its just in the formula ;)

Answer 18

how would I do the problem in terms of pi? (pi = 3.14)

Answer 19

if you wanna keep the 'pi' just dont multiply by it

Answer 20

(320/360) r^2 by this method

Answer 21

whatever that number is; then tack on the pi

Answer 22

Then ans is 8 pi

Answer 23

Then how do I find the circumference of the circle in terms of pi?

Answer 24

but you said missing was 30; which would make it; 330/360 right?

Answer 25

this missing part has an angle of 30 degreess

Answer 26

then i see it as:

\[\frac{33}{4}\pi\]

Answer 27

or 8.25 pi

Answer 28

here is the problem attatched

Answer 29

i am not able to open this type of file

Answer 30

The circle below has center O , and its radius is 3m . Given that the measure of angle AOB=30 , find the area of the shaded region and the length of ADB .

Give exact answers in terms of pi , and be sure to include the correct units in your answer.

Answer 31

You know that the area of the whole circle is πr².

You know that the number of degrees around the whole circle is 360°.

Since you are given the angle of the shaded region, put that amount over 360° and you will have the fraction of the whole.

Formula:

Let A = angle of shaded region and r=radius:

Area of shaded region = (A/360)(π r²)

Example:

if the angle of the shaded region is (making it easy) 90°, and the radius is 10,
the area is:

(90/360) π (10)²

= ¼ (100) π = 25π

approximately 78.54 sq. units

hope i helped ;)