Unless it is a religious triangle it does not have to have any angels! Seriously, though, a triangle does not have to have a 90 degree angle. In terms of its angles, the only requirement is that the measures of the three angles adds to 180 degrees (or pi radians).
16*pi*r/45 where r is the radius.
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
Area of whole circle = pi*r2 = 64*pi Area of Sector = Area of Whole Circle * Angle of Sector/Angle of Whole Circle = Area of Whole Circle * 120/360 = Area of Whole Circle / 3 = 64*pi/3 = 67.0 to the nearest tenth.
Arc length is equal to radius times the angle the arc subtends (makes) at the centre of the circle, but the angle needs to be in radians. Set your calculator to radians instead of degrees, or, to change degrees to radians, divide by 180 and times pi. The formula comes from the fact that the length of the arc is proportional to the circumference of the circle in the same ratio as the angle at the centre is to the complete revolution at the centre, so length of arc: circumference of circle = angle size : 360o arc/(2*pi*r) = angle in degrees/360 or angle in radians/(2*pi) so arc length is angle in degrees divided by 360, times the circumference of the circle. Answer will be in the same measurement unit as the radius.
at a 45 degree angle, or pi/4
It is approx 45*pi
pi/6 radians.
It is pi/4 radians.
Unless it is a religious triangle it does not have to have any angels! Seriously, though, a triangle does not have to have a 90 degree angle. In terms of its angles, the only requirement is that the measures of the three angles adds to 180 degrees (or pi radians).
pi*71/180 radians
45 degrees is the angle halfway between the floor and the wall of your house.
pi = 180 degrees pi / 2 = 90 degrees 2 pi = 360 degrees so pi / 5 = 180 / 5 = 36 36 x 4 = 144 degrees a 144 degree angle is obtuse
Pi radians is 180 degrees. So if you have theta in radians, multiply by 180/Pi
180 deg = pi radians So x deg = x*pi/180 radians
The length of an arc is the radius times the angle in radians that the arc subtends length = radius times angle in degrees times pi/180
16*pi*r/45 where r is the radius.