Area and perimeter of circle formula
- how to find theta in a circle
- how to find theta in a circle class 10
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Perimeter of sector formula class 10...
Perimeter of the sector formula$$ S = r \theta $$ Formula and Equation
There is a formula that relates the arc length of a circle of radius, r, to the central angle, $$ \theta$$ in radians.
Formula for $$ S = r \theta $$
The picture below illustrates the relationship between the radius, and the central angle in radians.
The formula is $$ S = r \theta $$ where s represents the arc length, $$ S = r \theta$$ represents the central angle in radians and r is the length of the radius.
Demonstration of the Formula $$ S = r \theta$$
The interative demonstration below illustrates the relationship between the central angle of a circle, measured in radians, and the length of the intercepted arc.
Just click and drag the points.
How to find theta with arc length and radius
Problem 1
What is the value of the arc length S in the circle pictured below?
Use the $$ S = r \theta $$formula.
S = 3(Π/3) = Π.
Problem 2
What is the value of the arc length S in the circle pictured below?
Use the formula for S = r Θ and calculate the intercepted arc: 6Π.
Problem 3
Calculate the measure of the arc le
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