Table of Contents
What is sector in trigonometry?
A sector is the area of a circle which has been enclosed by two radii and the arc between them. A sector is not to be confused with a segment of a circle. A segment is when the area enclosed by the chord of a circle and the arc of the chord.
How do you calculate 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 find the area of a circle section?
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 formula of sector of a circle?
The formula for the area of the sector of a circle is 𝜃/360o (𝜋r2) where r is the radius of the circle and 𝜃 is the angle of the sector.
What is the formula of area of sector of a circle?
How do you derive the formula for the area of a sector?
Area of Sector Formula Derivation If the angle at the center of the circle is 1º, the area of the sector is πr2/360º. So, if the angle at the center is θ, the area of the sector is, Area of a Sector of Circle = (θ/360º) × πr2, where, θ is the angle subtended at the center, given in degrees.
What is the formula to find the area of a sector?
You can also find the area of a sector from its radius and its arc length. The formula for area, A A, of a circle with radius, r, and arc length, L L, is: A = (r × L) 2 A = ( r × L) 2. Here is a three-tier birthday cake 6 6 inches tall with a diameter of 10 10 inches.
What is a sector of a circle?
A sector is the area of a circle which has been enclosed by two radii and the arc between them. A sector is not to be confused with a segment of a circle. A segment is when the area enclosed by the chord of a circle and the arc of the chord.
Where does the area of a sector originate?
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. The semi-circle is the most common sector of a circle, which represents half of a circle. Let’s learn about the area of a sector how to calculate it. 1.
What is trigonometry?
Trigonometry helps you understand any topic that involves distances, angles, or waves. The trig functions (sin, cos, and tan) show up all over science and engineering. What’s a “radian”? Discover another way to measure angles. Find legs of right triangles, and don’t get pulled over!