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??
Area of WHOLE circle = pi r^2 = 49 pi in2
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 = ......... in2
Thank you so much! I wasn't even given that formula.. It's so confusing lol. Thank you again.
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?
Hmmmm 2/15 * 49 pi = 20.53 in2 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
Mine is supposed to be 4π/15. That's my bad, omigosh. I'm sorry, I didn't even realize that until you said something.