How to find area of 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, 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, r is the radius of the circle.
Considering this how do you find the area of a sector of a circle 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. A=44111×360×227×25=8.75cm2.
Keeping this in mind how do you find area?To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
In like manner 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.
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Related questions and answers
How to Find the Length of the Chord?
|Chord Length Formula Using Perpendicular Distance from the Centre||Chord Length = 2 × √(r² - d²)|
|Chord Length Formula Using Trigonometry||Chord Length = 2 × r × sin(c/2)|
Important Circle Parts
- Radius: The distance from the center of the circle to its outer rim.
- Chord: A line segment whose endpoints are on a circle.
- Diameter: A chord that passes through the center of the circle.
- Secant: A line that intersects a circle in two points.
The degree measure of the circumference of the circle is always 360°. A circle divides the plane on which lies into three parts.
The formula for the perimeter of a rectangle is often written as P = 2l + 2w, where l is the length of the rectangle and w is the width of the rectangle. The area of a two-dimensional figure describes the amount of surface the shape covers. You measure area in square units of a fixed size.
Divide the perimeter by 4: that gives you the length of one side. Then square that length: that gives you the area. In this example, 14 ÷ 4 = 3.5.
The arc length of a circle can be calculated with the radius and central angle using the arc length formula, Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Hint: Perimeter of a sector is the total length of the circumference of the circle subtended within the angleθ . Perimeter is the sum of the total length of the arc and the two radii. The length of the arc of a circle is a part of the total circumference of the circle given by2πr.
A sector is a region bounded by two radii of a circle and the intercepted arc of the circle. A sector with a central angle less than 180° is called a minor sector. A sector with a central angle greater than 180° is called a major sector.
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.
The circumference (or perimeter) of a circle is made of many points that are all the same distance (equidistant) from the centre of the circle. An arc is part of the circumference of a circle. A sector is the area enclosed by 2 radii (radius) and an arc (It looks like a slice of cake or pizza).
In plane geometry, a chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle. The converse is also true: The locus of all points from which a given segment subtends equal angles is a circle.
The formula for the perimeter of a sector is 2r[1 + (θ*π)/180].
The formula used for the length of the arc of a circle of radius r and subtending θ degrees at the center of the circle isParc=2πr×(θ360) . Adding the two radii arm with the length of the arc results in the total perimeter of the sector that is equivalent to Ps=2πr×(θ360)+2r.
The circumference is the perimeter of a circle. It's the distance around a circle. Circumference is given by the formula C = πd where π = 3.14 and d is the diameter of the circle.
The perimeter is the distance all around the outside of a shape. We can find the perimeter of a sector using what we know about finding the length of an arc. To find the perimeter, we need to add these values together. Perimeter = Arc length + 2r. Here, we are given the arc length and the radius.
Perimeter is the distance around the outside of a shape. Area measures the space inside a shape. Learn how to calculate perimeter and area for various shapes.
Area is a measure of how much space there is on a flat surface. For example two sheets of paper have twice the area of a single sheet, because there is twice as much space to write on. For example, in a rectangle we find the area by multiplying the length times the width. In the rectangle above, the area is 2×4 or 8.
A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. The infinite line extension of a chord is a secant line, or just secant. More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse.
When the angle subtended at the center is given in degrees, The area of a sector can be calculated using the following formula, area of a sector of circle = (θ/360º) × πr2, where, θ is the angle subtended at the center, given in degrees, r is the radius of the circle.