Question

What is the area of the shaded region below?

Answer 1

I got 116.28 ^- ^

Answer 2

formula used?

Answer 3

A = (N/360) * pi * r^2

N = 155 deg

Answer 4

*and r = 8

Answer 5

I see hold on let me work it out (:

Answer 6

A = (155/360) *pi* (8)^2

A = (31/72) * pi * 64

A = ?

Answer 7

86.57

Answer 8

That is precisely \(155/360=31/72\) of the circle. The area of the whole circle is \(\pi r^2=64\pi\text{ cm}\). The area of our sector is then just \(31/72\times64\pi=248\pi/9 \text{ cm}^2\)

Answer 9

which is \(\approx86.57\text{ cm}^2\)

Answer 10

Damm that was too easy.

Answer 11

But not easy for me. -__ -

Answer 12

did you know that the area of a circle is (pi)r^2?

Answer 13

Yes i did but there are different theroms in my head about circles that i mix them up a lot .

Answer 14

if you did then your area of a given circle with 8 cm radius gives you an approximately 200 and some odd cm^2 and half of that (180 degrees) should be around 100 cm^2. those two alone should give you the idea that your answer is wrong and must figure out what you were missing in the equation.

Answer 15

The answer wasn't wrong it was one of the choices (:

Answer 16

memorize it like your life depended on it. area = (pi) times the squared of radius
116 was wrong even though it was one of the choices

Answer 17

keep reciting it over and over and over until you don't mix them up
it will make your life easier if you knew this like you knew how old you are

Answer 18

No not that answer the other one, aha 116 was not there

Answer 19

@nincompoop don't go to my next question it will just get you irritated. (: