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...
The area of a sector with a central angle α = 90° of a circle with radius r = 1 is π/4. To calculate this result, you can use the following formula: A = r² ·α/2, substituting: r = 1; and α = 90° ·π/180° = π/2. Thus: A = (1² ·π/2)/2 = π/...
we use the formula, Area of sector = (1/2) × r2θ; where θ is the angle subtended at the center, given in radians, and 'r' is the radius of the circle. So, let us understand where the formula comes from. We know that the formula for the area of a sector (in degrees) = ...
Sector of a Circle Area Formula To find the area of a sector of a circle, we need to know the length of the radii, as well as the measure of the central angle. The formula for the area of a sector of a circle is: {eq}A=(n/360)*3.14r^2 {/eq}...
How To Calculate The Area Of A Sector Using The Formula In Degrees And The Missing Radius Given The Sector Area And The Size Of The Central Angle? Example 1:Find the area of the shaded region. Example 2:Find the radius of the circle if the area of the shaded region is 50π ...
wheresis the arc length andris the radius. Once you know the central angle, you can then use the sector area formula above. If you prefer everything in one equation, you can combine the two equations and find the sector area with the following formula: ...
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 ...
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. ...
Area of a Sector Formula The area of a sector of a circle where the central angle is indegreesis:A=θ360πr2 The area of a sector of a circle where the central angle is inradiansis:A=θ2r2 where θ is the central angle and r is the radius of the circle. ...
The formula to calculate the area of a sector is: A = (θ/360) x πr^2 where A is the area of the sector, θ is the central angle of the sector in degrees, r is the radius of the circle, and π (pi) is a mathematical constant that is approximately equal to 3.14159. Formula...