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Mathematics 14 Online
OpenStudy (anonymous):

HELP ME! Area within central angle AOB is ____ (pii) square units. Area central angle AOB less triangle AOB = _________pii - _______ sqrt of_______square units

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910 i dont wanna bother but please help me with these last questions please

OpenStudy (anonymous):

what is number one asking?

jimthompson5910 (jim_thompson5910):

It looks like you're first finding the area of the circular pie shaped (or pizza sliced shaped) region

jimthompson5910 (jim_thompson5910):

Then you're finding the area of the triangle Finally, you're subtracting the two areas

OpenStudy (anonymous):

ohhhh ok:D

jimthompson5910 (jim_thompson5910):

Area of circular pie shaped piece A = (angle/360)*pi*r^2 A = (60/360)*pi*6^2 A = (1/6)*pi*36 A = 6pi So the area of the circular pie shaped piece is exactly 6pi square units

OpenStudy (anonymous):

i really didnt understand, thanks!

OpenStudy (anonymous):

ohhhh you use that formula

jimthompson5910 (jim_thompson5910):

do you see how I got the area of the pie shaped piece?

OpenStudy (anonymous):

yes!

jimthompson5910 (jim_thompson5910):

alright great

jimthompson5910 (jim_thompson5910):

Area of the triangle This is an equilateral triangle, so you use the formula A = (s^2*sqrt(3))/4 A = (6^2*sqrt(3))/4 A = (36*sqrt(3))/4 A = 9*sqrt(3) So the area of the triangle is exactly 9*sqrt(3) square units.

jimthompson5910 (jim_thompson5910):

Now subtract the two to get the last answer 6pi - 9*sqrt(3)

OpenStudy (anonymous):

yay! thank you! you're the best tutor here!!!!!

jimthompson5910 (jim_thompson5910):

you're welcome, lol thx for the compliment

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