See how to find the area of the sector (blue area). Male or Female ? Just use π = 3.14 and replace the value of r and n into the formula to get the area However, what is a sector? To understand how to calculate the area of such a sector, it’s important to understand the formula that it uses, which is given above. Area of an elliptical sector Calculator - High accuracy calculation Welcome, Guest Formula For Area Of Sector (In Degrees) We will now look at the formula for the area of a sector where the central angle is measured in degrees. The formula for finding the area of a circle is pi*r*r where r is the radius. Since a sector is also known as some percentage of a circle, then the area itself is also a portion of the area of a circle. Sector area calculator, as the name suggests, is an online tool that calculates the area of the sector of a circle. Given a radius and an angle, the area of a sector can be calculated by multiplying the area of the entire circle by a ratio of the known angle to 360° or 2π radians, as shown in the following equation: Although we do recommend you try to memorize the formula and understand it if you are a student using this as an education resource. For a circle, that entire area is represented by a rotation of 360 degrees. When the angle at the centre is 360°, area of the sector, i.e., the complete circle = πr² When the angle at the center is 1°, area of the sector = \(\frac{\pi .r ^{2}}{360^{0}}\) Download: Use this area calculator offline with our all-in-one calculator app for Android and iOS. Examples of sectors are illustrated below. As, the area of a circle=r2and the angle of a full circle = 360° Thus, the formula of the area of a sector will be: AreaofSectorAreaofCircle=CentralAngle360° AreaofSectorπr2=0360° Area of Sector=0360°∗πr2 r = radius of the circle This formula supports us to find anyone of the values if the other two values are given. Area of a square. An arc is a part of the circumference of the circle. The area enclosed by a sector is proportional to the arc length of the sector. r is the length of the radius. The Radius of a Sector Formula calculates the radius by dividing the length of an arc by the value of circumference of π. Free online calculators for personal use. Semicircle area formula Knowing the semicircle definition - half of a circle - we can easily write the semicircle area formula using the well-known circle area, πr² : Area semicircle = Area circle / 2 = πr² / 2 The area of a semicircle is just a half of the area of a full circle. $$\text{A}\;=\;\frac{x}{360}πr^2$$ Where, A shows Area of a Sector. How to calculate a sector area. Sector area formula. Students may use this circle sector calculator to generate work with steps for any other similar input values. eval(ez_write_tag([[300,250],'calculator_academy-large-leaderboard-2','ezslot_18',107,'0','0']));eval(ez_write_tag([[300,250],'calculator_academy-large-leaderboard-2','ezslot_19',107,'0','1']));eval(ez_write_tag([[300,250],'calculator_academy-large-leaderboard-2','ezslot_20',107,'0','2'])); To calculate the area of the sector you must first calculate the area of the equivalent circle using the formula stated previously. Area of a sector. The figure below illustrates the measurement: As you can easily see, it is quite similar to that of a circle, but modified to account for the fact that a sector is just a part of a circle. Then, the area of a sector of circle formula is calculated using the unitary method. Whether you want to calculate the Area (A), Arc (s), or one of the other properties of a sector including Radius (r) and the Angle formed, then provide two values of input. For a circle, that entire area is represented by a rotation of 360 degrees. Area of a sector of a circle; Area of a circular segment; Area of an annulus; Area of a sector of an annulus; Area of an ellipse; All formulas for area of plane figures; Surface Area. The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2; But where does it come from? A sector is part of a circle bounded by two radii and their intercepted arc. 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