How to Find the Area of an Arc. Lesson Summary Frequently Asked Questions What is the formula for the area of the sector? The formula to calculate the area of the sector is $$A=\frac{\theta}{360^o}\times{\pi}r^2 $$, where you would need the measure of the central angle in ...
The area A of a sector of a circle can be calculated using the formula:A=θ360×πr2where θ is the central angle in degrees and r is the radius of the circle. Step 2: Substitute the known values into the formulaGiven:- Area A=770cm2- Central angle θ=200∘ Substituting these ...
The above expression is also an area of a sector formula, but this time the central angle is measured in radians. Example 1: Area of a Sector of a Circle Using Degrees What is the area of a circular sector whose radius is 3 cm and the central angle is 45∘?Lesson...
To calculate the area of a sector, a simple formula can be used. Sector Area Formula Theareaof a sector can be found using the formula: sector area =1/2r²θ Thus, a sector’s area is equal to the radiusrsquared times the central angleθin radians, divided by 2. If you know th...
In summary, the formula to find the area of a sector in a circle is A = (πr^2θ)/360, where θ is the central angle in degrees. If θ is in radians, the formula becomes A = (r^2θ)/2. The sector area is simply a fraction of the total area of the circle. ...
Calculate the area of a sector, formula in degrees and radians, area of segment, how to calculate the central angle of a sector, how to calculate the radius of a sector, in video lessons with examples and step-by-step solutions.
Semicircle area = α× r² / 2 = πr² / 2 2. Quadrant area: πr² / 4 As a quadrant is a quarter of a circle, we can write the formula as: Quadrant area = Circle area / 4 = πr² / 4 Quadrant's central angle is a right angle (π/2 or 90°), so you'll qui...
The following is the calculation formula for the area of a sector: Where: A = area of a sector π = 3.141592654 r = radius of the circle θ = central angle in degrees Please input radius of the circle and the central angle in degrees, then click Calculate Area of Sector button. The ...
To find the area of a sector of a circle, use this formula: The area of a sector \(=πr^2 (\frac{θ}{360})\), \(r\) is the radius of the circle, and \(θ\) is the central angle of the sector. To find the arc of a sector of a circle, use this formula: ...
Example:A circle is divided into 3 sectors and the central angles made by the radius are 160°, 100°, and 100° respectively. Find the area of all the three sectors. Solution: The angle made by the first sector is θ = 160°. Therefore, the area of the first sector = (θ/360°...