fill in the missing numbers which you tried to copy/paste.
In a circle of radius 10 with angle θ, PQ = 10θ
So, if circle S has circumference 10θ, its radius is 10θ/(2π)
In a circle of radius 10 with angle θ, PQ = 10θ
So, if circle S has circumference 10θ, its radius is 10θ/(2π)
an angle of 2.3 radians?
an angle of π/4 radians?
an angle of √7 radians?
Given that the length of arc PQ is equal to the circumference of the new circle, we can set up an equation:
C(arc PQ) = 2Ï€r(new circle)
Since the length of arc PQ is given, we can substitute it into the equation:
radian measure of arc PQ = r(arc PQ) / r(circle)
Since the radius of the original circle is given as 10 cm, we can substitute this value:
radian measure of arc PQ = r(arc PQ) / 10
Next, we can solve for the radius of the new circle:
r(new circle) = (radian measure of arc PQ) * 10
By substituting the given value of the angle measure, we can calculate the radius of the new circle.