What is the area of the sector bound by the center of the circle and arc CD in the circle below?
9.42 ft^2

19.54 ft^2

34.89 ft^2

88.31 ft^2

Question

What is the area of the sector bound by the center of the circle and arc CD in the circle below?
 9.42 ft^2 

 19.54 ft^2 

 34.89 ft^2 

 88.31 ft^2

armyrangers · Answer

attachment

amistre64 · Answer

the area of part of a circle is proportional to the area of the whole circle ....

amistre64 · Answer

what is the area of the whole circle?

and what is 35/360 of that area?

armyrangers · Answer

Can you show me the formal for that cause I am bad at remembering that stuff

amistre64 · Answer

the formula for the area of a circle has to be memorized, give it your best attempt

armyrangers · Answer

Ok  I think it is R^2*pi

amistre64 · Answer

it is ... now we simply want 35/360 of that area sooo
$$\frac{35}{360}\pi r^2$$

armyrangers · Answer

Would it be 88.31

amistre64 · Answer

no

amistre64 · Answer

visually, its about 1/10  of 3*64

armyrangers · Answer

Ok I know what I did wrong it would be 19.54

amistre64 · Answer

thats better yes :)

amistre64 · Answer

$$\frac{35}{360}\approx\frac{36}{360}\approx\frac{1}{10}$$
$$\pi\approx 3$$

amistre64 · Answer

3*6.4  is 19.2  gets you close :)

armyrangers · Answer

Thank you so much

amistre64 · Answer

yep