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...
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 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.
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)...
Now: Arc length of a sector = L = (60/360) × 2 ×π× 6 L = 2 ×π L = 44/7 m Example 2 Calculate theareaof a sector of a circle whose radius is3 mand the length of the sector’s arc is10 m. Solution Since we know that: ...
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...
(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 know if it would help you if it supported radians as well). π is, of course, the mathematical constant ...
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 – ...