What is the formula for the area of a sector of a circle?
To calculate the area of a sector of a circle we have to multiply the central angle by the radius squared, and divide it by 2. Area of a sector of a circle = (θ × r2 )/2 where θ is measured in radians. The formula can also be represented as Sector Area = (θ/360°) × πr2, where θ is measured in degrees.
How do you find the area of a sector and segment of a circle?
- Area of Sector = θ × π 360 × r2 (when θ is in degrees)
- Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)
- L = θ × π180 × r (when θ is in degrees)
What are the steps to finding the area of a sector?
Divide the diameter by 2. That gives you the radius. Multiply the radius by the arc length, then divide by 2 again. That gives you the sector area.
What is the formula of area of minor sector?
5. What is the area of the minor sector? Ans: If the central angle of the minor sector is θ then, the formula of the minor sector is =θ360∘×πr2 where r is the radius of the circle.
How do you find the area of a sector with an arc length?
Calculate the arc length according to the formula above: L = r * θ = 15 * π/4 = 11.78 cm . Calculate the area of a sector: A = r² * θ / 2 = 15² * π/4 / 2 = 88.36 cm² . You can also use the arc length calculator to find the central angle or the circle’s radius.
What is the area of a semi circle?
The area of a semicircle can be calculated using the length of radius or diameter of the semicircle. The formula to calculate the area of the semicircle is given as, Area = πr2/2 = πd2/8, where ‘r’ is the radius, and ‘d’ is the diameter.
A Circular Sector is portion of circle enclosed by two radii and an arc. The formula used to calculate the area of the circular Sector is, Formula. Sector Area = (π r2 θ) / 360.
How can I find the area of a sector of a circle?
When finding the area of a sector, you are really just calculating the area of the whole circle, and then multiplying by the fraction of the circle the sector represents. A circle is 360 degrees, so when you place the measurement of the sector’s central angle over 360, it gives you the fraction of the whole circle.
What is the formula for sector area?
The formula for the area of a sector is (angle / 360) x height x π x radius 2.
How do you calculate the area of a sector?
Area of a sector formula. The formula for the area of a sector is (angle / 360) x height x π x radius2. 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.