The area of a sector of a circle with a central angle of 2 radians is 16 m^2. Find the radius of the circle.
I know the formula for the area of the circle is A= (pi)(radius)^2/ 2
2006-08-07 12:37:27 · 6 answers · asked by Ginger M 1 in Science & Mathematics ➔ Mathematics
The radius of the circle is 4m
there is no need for the / 2 in the circle area formula.
2006-08-07 12:49:13 · answer #1 · answered by jonny j 1 · 0⤊ 0⤋
Area of a sector = Area of circle x (angle at the centre/2pi)
= pi r^2 (2/2pi)
16 = r^2 (given area = 16)
Taking square root
4m= radius of the circle
2006-08-11 12:16:22 · answer #2 · answered by Amar Soni 7 · 0⤊ 0⤋
The area (A) of a circle of radius r is given by
A = Pi*r² where Pi = 3.141592653....etc.
The area of a segment of a circle with included angle Θ is
A = (Θ/2)*r²
Given that A=16 and Φ=2 it's easy to calculate that
r = sqrt(16) = 4 m
Doug
2006-08-07 12:52:06 · answer #3 · answered by doug_donaghue 7 · 1⤊ 0⤋
AReaof circle is pi * r^2 and not pir^2/2
if angle is x area xr^2/2 here x = 2 so area = r^2 = 16 so r = 4
2006-08-07 12:53:51 · answer #4 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
The area of a sector is actually:
A = (1/2)(r^2)(theta), where theta is in radians.
16 m^2 = (1/2)(r^2)(2)
r^2 = 16 m^2
r = 4 m
2006-08-07 16:31:32 · answer #5 · answered by Anonymous · 0⤊ 0⤋
im going to be in tenth grade next month and i have pre cal so i dont know now.
2006-08-07 12:41:26 · answer #6 · answered by St. John Bosco 6 · 0⤊ 0⤋