Just got done reading the chapter... Want to make sure I have this right....
IF Circumference = 2(pi)r
Let cir = 360 deg.
So that 360 deg = 2(pi)r
And 180 deg = (pi)r
IF r = 10
then 180 = (pi)10
Hence half of a cirlce with radius of 10 has an arc measure of 10(pi).....
Is this correct?
And if I wanted to find An arc measure of angle 70 deg I would
solve for x
180x = 70
x = 70/180 = 7/18
then
70 = (7/18)(Pi)(10)
If radius is 10....
No r comes after the circumference equation since the 1 radian is the angle subtended by an arc of length equal to the radius. If we want to find out how many radians are in a full circle we can divide the circumference by the number of radii -
Then set this equal to 360 degrees to give
No, angle measurement is independent of the radius.IF r = 10
then 180 = (pi)10
Yes. Arc length = Angle * radius orHence half of a cirlce with radius of 10 has an arc measure of 10(pi).....
Is this correct?
You'd find 70 degrees in radiansAnd if I wanted to find An arc measure of angle 70 deg I would
solve for x
180x = 70
x = 70/180 = 7/18
then
70 = (7/18)(Pi)(10)
If radius is 10....
so 70 degrees is (note I have multiplied by pi when finding the angle)
The sub in