Question

What is the exact area of the shaded figure? (your answer should not have any decimals or
fractions)

Answer 1

area of shaded part = area of the whole rectangle - 2 * area of one semicircle

Answer 2

area of rectangle = 12 * 16
area of 2 semicircles = pi r^2 = pi * 6^2

Answer 3

( r the radius = 1/2 diameter of semicircle = 1/2 * 12 = 6)

Answer 4

area of shaded part = 12*16 - pi * 6^2

Answer 5

leave it in terms of pi

Answer 6

So then the shaded part = 78.9026644708 ..

Answer 7

The two semicircles are 113.097335529

Answer 8

yes but they dont want the answer in decimal form

just simplify the expression

Answer 9

simplify
12*16 - 36pi

Answer 10

So the first one is 79 and the semicircles are 113

Answer 11

The expression you just gave me would simplify to 79

Answer 12

And then the semicircles are 113

Answer 13

no
79 is not an exact answer neither is 113 - they didnt ask for the area of the semicircles anyway.

Answer 14

the exact answer is 12*16 - 36pi = 192 - 36pi

Answer 15

36pi gives an exact answer for area of the semicircles 113.0973355 is not exact

Answer 16

- the decimals go on forever

Answer 17

So Im confused..If I have to round then how isn't 113 right

Answer 18

when they say exact they want pi to be in the answer.

Answer 19

So 113pi

Answer 20

No the exxact answer is 192 - 36pi

Answer 21

- thats for the shaded area

Answer 22

Im sorry..Im confused

Answer 23

just remember that pi is exact so when they want an exact area of something which includes a circle they want pi to be included in the result.

Answer 24

So then would you give me the equations that I need..Again, and I will try to figure them

Answer 25

area = 12*16 - 6^2* pi

you just need to simplify that

Answer 26

gtg