On the unit circle, if A is the area of the sector formed by a central angle of theta radians, then A = theta I don't understand this, can someone help?
Follow Math Help Forum on Facebook and Google+
Hello, Originally Posted by gabrie30 For a circle of radius 2, a central angle of 45 subtends an arc whose length s is 90. Is this true or false? Why? My guess is that its false and that the arc is (2X(PI/3)) This is indeed false, but I would say the answer is pi/2. 45/360=1/8 The perimeter is 2*pi*2=4*pi --> length of the arc is (4*pi)/8
Originally Posted by gabrie30 On the unit circle, if A is the area of the sector formed by a central angle of theta radians, then A = theta I don't understand this, can someone help? If you want to ask a new question, post it in a new thread. Do not simply edit over the old one. -Dan
Originally Posted by gabrie30 On the unit circle, if A is the area of the sector formed by a central angle of theta radians, then A = theta I don't understand this, can someone help? Your formula is off by a factor of 2. The angle is a section of the circle. So the area of the wedge is proportional to the angle . Thus (Remember this is the unit circle so r = 1.) -Dan
View Tag Cloud