How do you calculate the area of a sector?
Sector area formula The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
How do you solve a sector problem?
Sectors and Circles Problems
- The formula for the arc length is given by. arc length AB = r * angle AOB.
- arc length AB is given and is equal to 2r, hence. 2r = r * angle AOB.
- Solve for angle AOB to obtain. angle AOB = 2 radians.
- The area of the sector is given by. Area = (1/2) * angle AOB * r 2 = (1/2) * 2 * r 2 = r 2
What is the sector area of a sector?
Area of Sector. The area of a sector of a circle is the amount of space enclosed within the boundary of a sector. A sector always originates from the center of the circle. A sector of a circle is defined as the portion of a circle that is enclosed between its two radii and the arc adjoining them.
What is the area of major sector?
Q. 1. What is the area of the major sector? Ans: If the central angle of a sector(minor sector) is θ then, the formula of the major sector is =360∘−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.
How do you find the area of a sector in Class 10?
Now, we also know the formula of area of a sector which is: A=θ360∘×π×r2, where A is the area, r is the radius and θ is the angle of sector.
How to calculate the area of a sector?
When the angle of the sector is equal to 180°, there is no minor or major sector. In a circle with radius r and center at O, let ∠POQ = θ (in degrees) be the angle of the sector. Then, the area of a sector of circle formula is calculated using the unitary method.
How big is a sector in square feet?
The area of this sector is 56.52 square feet. A sector is simply a wedge or slice of a circle that originates at the circle’s midpoint. To find the area of a sector, know the radius or diameter of the circle, and either the sector’s angle measurement or the portion of the circle for which the area needs to be calculated.
Which is the major sector of a circle?
Basically, a sector is the portion of a circle. It would hence be right to say that a semi-circle or a quarter-circle is a sector of the given circle. In fig.1, OPAQ is called the minor sector and OPBQ is called the major sector because of lesser and greater areas.
Which is the correct equation for the angle of a sector?
This equation can be written as: sector angle / 360. In other words, if the sector’s angle happens to measure 90 degrees, the portion of the circle being measuring is 90 / 360, or 1/4. Another example: if the sector’s angle measures 60 degrees, the fraction would be 60 over 360, or 1/6 of the circle.