Understand what the area of a circular sector is & how to find its area. Calculate the area in radians & degrees using the area of a circular...
Learn how to find the arc length of a sector with the formula and examples. Understand the formula and the method to find the area of a sector with...
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 Show Video Lesson Formula For Area Of Sector (In Radians) Next, we will look at the formula for the area of a sector where the central angle is measured ...
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 the diameter of the circle, you can find the radius by dividing 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. ...
‘θ’ here refers to the angle in radians. Now let us incorporate the value of θ in the area of the sector: Area of Sector = A = (θ) ×πr2 A = (L/r) × (r2/2) A = (L × r)/2 Perimeter Formula for a Sector As we know that perimeter refers to the summation of th...
Area of Sector in Radians If we need to find the area of sector when the angle is given in radians, 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 unders...
Area of a Sector = $\frac{(\theta r^2)}{2}$ where θ = the measure of the central angle given in radians and r = radius of the sector Area of a sector given the arc length The following formula is used if the length of the arc is given – ...
When the central angle is measured in radians, the formula for the area is slightly different. Area of a Sector Formula The area of a sector of a circle where the central angle is indegreesis: \[ A = {\theta \over 360} \pi r^2 \] ...
Measuring the diameter is easier in many practical situations, so another convenient way to write the formula is (angle / 360) x π x (diameter / 2)2. The radius can be expressed as either degrees or radians, with our area of a sector calculator accepting only degrees for now (let us...