Learn about the formulas associated with the sector of a circle. Discover the definition of a sector and how to use both the arc length and sector area formulas. Updated: 11/21/2023 Table of Contents What is a Sector of a Circle? Sector of a Circle Area Formula Sector of a Circle ...
Area of a Sector of Circle = (θ/360º) ×πr2, where, θ is the sector angle subtended by the arc at the center, in degrees, and 'r' is the radius of the circle. Area of a Sector of Circle = 1/2 × r2θ, where, θ is the sector angle subtended by the arc at the ce...
Area and circumference of a circle: Arc and sector of a circle: Segment of circle and perimeter of segment: Area of the circular ring: Formula for intersecting chords in circle: Formula for length of the tangents of circles: Geometry Math ...
Area = ½(a+b) × h h = vertical height Circle Area = π× r2 r = radius Ellipse Area = πab Sector Area = ½ × r2×θ r = radiusθ = angle in radians Note: h is at right angles to b Example: What is the area of this rectangle? The formula is: Area = w × ...
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 ...
To find the area of a sector of a circle, use this formula:The area of a sector \(=πr^2 (\frac{θ}{360})\), \(r\) is the radius of the circle, and \(θ\) is the central angle of the sector.To find the arc of a sector of a circle, use this formula:Arc of a ...
In summary, the formula to find the area of a sector in a circle is A = (πr^2θ)/360, where θ is the central angle in degrees. If θ is in radians, the formula becomes A = (r^2θ)/2. The sector area is simply a fraction of the total area of the circle. ...
Sector of a Circle:The sector of a circle is defined as the area enclosed by two radii and the corresponding arc in a circle. There are two types of sectors, minor sector, and major sector. The Number π We know that the circumference of a circle is in constant ratio to its diameter...
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. ...
Let us assume that ‘r’ is the radius of the circle whose sector’s area we want to determine. Let us also assume that ‘θ’ is the angle of the sector whose are we want to find. Then the formula below can be employed to find the area of the sector: Area of Sector = A = ...