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Area (radians) of a Sector of a Circle
A = ½ r²θ = ½ l r
Where: A = Area (radians), r = radius, θ = central angle (degrees)
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: r = 7, theta = 5
Find: A (Area (radians))
- Formula: A = r²·θ/2
- Substitute the values: A = 5·7²/2
- Result: A = 122.5
Answer: A = 122.5
Calculator
How to calculate Area (radians) of a Sector of a Circle
- Write down the formula: A = ½ r²θ = ½ l r.
- Note the known values (r, θ).
- Substitute them and simplify to find A.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Area (radians) of a Sector of a Circle?
The formula is A = ½ r²θ = ½ l r, where A = Area (radians), r = radius, θ = central angle (degrees).
What is Area (radians) of a Sector of a Circle when r = 7, theta = 5?
A = 122.5. Substitute the values into A = ½ r²θ = ½ l r and simplify.