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 The area of a sector can be found using the formula: sector area = 1 / 2r²θ Thus, a sector’s area is equal to the radius r squared times the central angle θ in radians, divided by 2. If you know the diameter of the circle, you can find the radius ...
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...
Area of sector is the amount of space enclosed within the boundary of a sector. Explore and learn more about the area of a sector formula, with concepts, definition, examples, and solutions.
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 {eq}3 {/eq} cm and the central angle is {eq}4 5^{\cir...
Area of SegmentThe Area of a Segment is the area of a sector minus the triangular piece shaded blue below:There is a lengthy reason, but the result is a slight modification of the Sector formula:Area of Segment = θ − sin(θ)2× r2 (when θ is in radians)...
‘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...
To find the central angle of a sector of a circle, you can invert the formula for its area: A = r² ·α/2, where: r— The radius; and α— The central angle in radians. The formula for α is then: α = 2 · A/r² To find the angle in degrees, multiply the result by...
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...
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 sector formula. Related to this QuestionFind the area of the smaller sector. Area = ___ m^2. Round your answer to...