Calculate the area of a sector using the central angle and radius below and learn the formula and steps to solve it below. Central Angle (θ): Radius (r): Diameter (d): Results: Sector Area (A) Arc Length (s) Chord Length (a) Learn how we calculated this below scroll ...
What is the formula for the area of the sector? The formula to calculate the area of the sector is A=θ360o×πr2, where you would need the measure of the central angle in degrees and the radius length. What is the formula for arc length of a sector? The formula to find the arc...
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.
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.
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...
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: ...
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...
What Is The Area of Sector Formula? The following is the calculation formula for the area of a sector: Where:A = area of a sectorπ = 3.141592654r = radius of the circleθ = central angle in degrees How to Calculate The Area of Sector with This Tool? Please input radius of the circl...
It typically has a shape similar to a slice of pizza and can be found using the sector area formula, denoted by {eq}= (\frac{\theta}{360}) \times \pi r^2 {/eq}. Answer and Explanation: From the image above, we can see that the central angle, {eq...
Area of a Sector: A sector is a piece of the circle that is very similar to a slice of pizza. We measure its area by getting the square of the radius (r) and half of the central angle (θ) in radians or ...