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.
A circle can be defined as, it is the locus of all points equidistant from a central point. In this we discuss about Properties of circle, circle formulas
The sector that is being referred to is a sector of a circle. What is the Formula for the Area of a Circular Sector Using Radians? Again, to solve for the area, the central angle and radius must be known. The procedure is similar to what we did in the previous section. We have ...
All points on the edge of a circle are the same distance to the center. The value of Pi (π ) to 2 decimal places is 3.14, it comes in handy when working out the circumference and area of a circle. The circumference of a circle can be found with the following formula: Circumference ...
The formula to find the arc length of a sector is as follows: {eq}s=r\theta {/eq}, where you would need the length of the radius between the endpoint of the arc and the center of the circle, and the angle's measure in radians. How do you find arc length with angle and radius...
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: ...
Comparing the area of sector and area of circle, we derive the formula for the area of sector when the central angle is given in degrees. where r is the radius of the circle. This formula allows us to calculate any one of the values given the other two values. ...
What is a sector of a circle? Sector definition Sector area formula Special cases: area of semicircle, area of quadrant Sector area calculator – when it may be useful? FAQs With this sector area calculator, you'll quickly find any circle sector area, e.g., the area of a semicircle or...
A circle has an angle of 2π and an Area of:πr2 A Sector has an angle of θ instead of 2π so its Area is : θ2π×πr2 Which can be simplified to:θ2× r2Area of Sector = θ2× r2 (when θ is in radians)Area of Sector = θ × π360× r2 (when θ is in degrees...
A Sector Area Calculator is a tool that helps to calculate the area of a sector, which is a part of a circle enclosed between two radii and an arc of the circle. The formula to calculate the area of a sector is given by: A = (θ/360) x πr^2 ...