 SEMATHS.ORG Updated: 11 October 2021 11:04:00 PM

# 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.

#### What is the formula of chord?

How to Find the Length of the Chord?
Chord Length Formula Using Perpendicular Distance from the CentreChord Length = 2 × √(r² - d²)
Chord Length Formula Using TrigonometryChord Length = 2 × r × sin(c/2)

#### What are the three parts of a circle?

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.

#### How many parts are in the circle?

The degree measure of the circumference of the circle is always 360°. A circle divides the plane on which lies into three parts.

#### What is the perimeter formula?

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.

#### How do you find area and perimeter?

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.

#### What is the formula for arc?

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.

#### How do we calculate area?

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.

#### What is perimeter of a sector?

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.

#### What is minor sector?

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.

#### What is sector formula?

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.

#### What is a part of circle?

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).

#### Can a line be a chord?

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.

#### What is the perimeter of a sector formula?

The formula for the perimeter of a sector is 2r[1 + (θ*π)/180].

#### What is the perimeter of a sector?

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.

#### What is the formula of 2πr?

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.

#### What is the perimeter of an arc?

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.

#### What is perimeter and area?

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.

#### What is area and example?

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.

#### Which line is called as chord?

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.

#### What is the formula of minor sector?

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.