How do you calculate the area of a sector of a circle?
How do you calculate the area of a sector of a circle?
Area of a Sector of Circle = (θ/360º) × πr2, where, θ is the angle subtended at the center, given in degrees, and ‘r’ is the radius of the circle. Area of a Sector of Circle = 1/2 × r2θ, where, θ is the angle subtended at the center, given in radians, and ‘r’ is the radius of the circle.
What is the area of a sector?
The area of a sector is the region enclosed by the two radii of a circle and the arc. In simple words, the area of a sector is a fraction of the area of the circle.
What is the sector formula?
FAQs on Sector of a Circle 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.
What is the area of a sector of a circle of radius 5cm?
Given, radius = 5 cm and length = 3.5 cm. Therefore, Area of the sector of circle = 8.75 cm².
What is the area of a semi circle?
Area of a Semicircle In the case of a circle, the formula for area, A, is A = pi * r^2, where r is the circle’s radius. Since we know that a semicircle is half of a circle, we can simply divide that equation by two to calculate the area of a semicircle. So, the formula for the area of a semicircle is A = pi * r^2/2.
What is the formula of major sector?
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.
What is area of Arc?
So, if l is the length of the arc, r is the radius of the circle and θ is the angle subtended at the centre, then; θ = l/r, where θ is in radians. When the angle of the sector is 2π, then the area of the sector (whole sector) is πr2. When the angle is 1, the area of the sector = πr2/2π = r2/2.
What is the area of a sector of a circle of radius 14 cm and central angle 45?
Hence , the required area of the sector is 308 cm2. Find the area of the sector of a circle of radius 14 cm with central angle 45°. The area of the sector of a circle of radius 10.5cm is 69.3cm2.
How do you find an area of a sector of a circle?
The equation for the area of a circle is pi times the square of the radius or A = πr2. Calculating the area of a sector involves figuring out what fraction of the circle’s area the sector covers.
How do you calculate the area of a circle segment?
The area of a segment in a circle is found by first calculating the area of the sector formed by the two radii and then subtracting the area of the triangle formed by the two radii and chord (or secant). In segment problems, the most challenging aspect is often calculating the area of the triangle.
How to find the area of a circle sector?
The area of a circle is calculated as A = πr². This is a great starting point.
What is the formula for the area of a circle segment?
The below given is the area of segment of circle formula to calculate the area of circle segment on your own. As per the formula, deduct the value of θ by the value of sinθ and multiply the value by the squared value of radius. Then, divide the resultant value by the integer 2.
