SOLUTION: A circle having an area of 201.062 cm2
is to be divided into two segments by a chord which is 3 cm from the center
of the circle.
a. Compute the area of the smaller segment.
Algebra ->
Circles
-> SOLUTION: A circle having an area of 201.062 cm2
is to be divided into two segments by a chord which is 3 cm from the center
of the circle.
a. Compute the area of the smaller segment.
Log On
Question 1169602: A circle having an area of 201.062 cm2
is to be divided into two segments by a chord which is 3 cm from the center
of the circle.
a. Compute the area of the smaller segment.
b. Determine the area of the larger segment.
3. A wheel has a diameter of 100 centimeters. The wheel is supporting a cart moving at 48 kilometers per hour. What
is the angular velocity of the wheel in rpm? Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website! The area of the smaller "pie wedge" sector, A_sector = R^2*theta/2,
where R = the radius, theta = the wedge angle.
Since the chord is 3 cm from the center, the half angle is given by:
arccos(3/R) = 1.1864. Thus the angle theta = 2.373.
The area of the segment will be the sector area minus the triangular portion
The area of this portion is 2(3*sqrt(R^2-3^2)/2) = 3*sqrt(55)
The radius, R = sqrt(A/pi) = sqrt(201.062/pi) = 8
Finally, the area of the segment is 75.9296 - 3*sqrt(55) = 53.681
