The radius of a circle measures 7 inches. A central angle of the circle measuring 4π/15 radians cuts off a sector. What is the area of the sector? Enter your answer, as a simplified fraction.

There's so many formulas I'm so confused lol. Can someone help me get an idea of what formula(s) to use to solve this problem??

auxiarc Apr 18, 2020

#1**+2 **

Area of WHOLE circle = pi r^2 = 49 pi in^{2}

Central angle of 4pi/15 radians is a FRACTION of the total of 2 pi radians

4pi/15 / 2pi = 2/15 fraction of the TOTAL area

2/15 x 49 pi = ......... in^{2 }

ElectricPavlov Apr 18, 2020

#2**+1 **

Thank you so much! I wasn't even given that formula.. It's so confusing lol. Thank you again.

auxiarc
Apr 18, 2020

#3**+1 **

Alright, so I attempted it for myself & I'm still very confused. When I enter what you gave me for the total area, I got 1.315947252 = .133333333.

I'm not sure what I'm doing wrong.. And when I tried to solve for the last part, I got 20.525. But is that the area of the whole circle or the sector?

auxiarc
Apr 18, 2020

#4**+2 **

Hmmmm 2/15 * 49 pi = 20.53 in^{2 }via my calculator......

Also I used 4pi/15 your question had 4 pi 15 .... Which is it supposed to be?

since it asks for a fraction answer , I'm thinking it might be something different.....

Maybe in terms of pi?

2/15 x 49 pi = 98/15 pi ( 6 8/15) pi

ElectricPavlov
Apr 18, 2020

edited by
ElectricPavlov
Apr 18, 2020

edited by ElectricPavlov Apr 18, 2020

edited by ElectricPavlov Apr 18, 2020

edited by ElectricPavlov Apr 18, 2020

edited by ElectricPavlov Apr 18, 2020