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How to Find the Area of Sector with Arc Length and Radius? The area of a sector can be calculated if the arc length and radius is given. We first calculate the angle (θ) subtended by the arc with the formula, Length of Arc = (θ/360) × 2πr.
- Area of Sector Calculator
How to Use the Area of a Sector Calculator Calculator?...
- Arcs and Subtended Angles
An arc of a circle is any part of the circumference. The...
- Central Angle
Central angle is the angle subtended by an arc of a circle...
- Unitary Method
Unitary Method is useful to solve problems of ratio,...
- Sector of a Circle
The area enclosed by two radii and the corresponding arc in...
- Segment of a Circle
An arc and two radii of a circle form a sector.These two...
- Area of Sector Calculator
27 gru 2013 · Circle - area of arc. Processing... `A = 1/2 * ( "r" )^2 * ( θ - sin( θ ))` Enter a value for all fields. The Area of an Arc Circleformula, A = ½• r²• (θ - sin(θ)), computes the area defined by A = f(r,θ) A = f(r,h) an arc and the chord connecting the ends of the arc (see blue area of diagram).
The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that connects the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.
The area of the segment can be seen graphically to be the difference between the area of the sector (defined by r and `theta` in the equation above) and the the area of the triangle defined by r and `theta` above -- or more properly the summation of the area of the two right triangles with sides r, a, and b in the left picture.
Circular segment - is an area of a "cut off" circle from the rest of the circle by a secant (chord). On the picture: L - arc length. h - height. c - chord.
Learn how to calculate the area and arc length of a sector or a segment of a circle. Find the formulas, examples and interactive diagrams for different angles and radii.
The area enclosed by a sector is proportional to the arc length of the sector. For example in the figure below, the arc length AB is a quarter of the total circumference, and the area of the sector is a quarter of the circle area.
