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.

Also, What is 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.

Hereof, 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.

Also to know What is major 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 greater than 180° is called a major sector.

What is the π?

Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle’s size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.

21 Related Questions Answers Found

What is a perimeter of a sector?

Hint: Perimeter of a sector is the total length of the circumference of the circle subtended within the angle[theta ]. Perimeter is the sum of the total length of the arc and the two radii.

How do you calculate the perimeter of a sector?


Perimeter of a sector-Formula

  1. So the formula for the perimeter of sector will be: 2r + (θ/360)*2πr = 2r[1 + (θ*π)/180]
  2. The range of value of the perimeter of a sector: 2r<perimeter>(2r + 2πr).
  3. A circle with a radius of 10 m has a sector making an angle of 60° at the center.

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.

How do you name a sector of a circle?

To name a sector, use one arc endpoint, the center of the circle and then the other arc endpoint. A circle has radius of 4 in.

What are the 11 sectors?

The order of the 11 sectors based on size is as follows: Information Technology, Health Care, Financials, Consumer Discretionary, Communication Services, Industrials, Consumer Staples, Energy, Utilities, Real Estate, and Materials.

What are the 4 sectors of industry?

  • Primary. The primary sector of industry is concerned with the extraction of raw materials or natural resources from the land. …
  • Secondary. The secondary sector of industry is concerned with manufacturing . …
  • Tertiary. The tertiary sector of industry is concerned with providing a service. …
  • Quaternary.

What is called sector of a circle?

A circular sector, also known as circle sector or disk sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

What is the math formula for pi?

The formula for the value of pi is the ratio of the circumference of a circle to its diameter. In the ratio form, it is π = Circumference/Diameter.

Why is pi 22 divided 7?

The pi value in fraction is 22/7. It is known that pi is an irrational number which means that the digits after the decimal point are never-ending and being a non-terminating value. Therefore, 22/7 is used for everyday calculations. ‘π’ is not equal to the ratio of any two number, which makes it an irrational number.

Can pi be squared?

Pi is a geometrical constant. Its official value is 3.14159265358… March 1998 discovery says Pi value is 3.14644660941…. With the official number square root of Pi and squaring of circle are impossible.

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 of a circle whose central angle is 90 degree and radius is 7 cm?

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How do you find the radius of a sector?

You can find the radius of both the sector and the circle by using the sector’s angle and area. Double the area of the segment. For example, if the segment area is 24 cm^2, then doubling it results in 48 cm^2.

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.

What is the central angle of a circle?

A central angle is an angle with its vertex at the center of a circle, with its sides containing two radii of the circle. In the figure above, ∠PZQ,∠QZR , and ∠RZP are central angles. Sum of Central Angles: The sum of the measures of the central angles of a circle with no points in common is 360° .

How do you find the length of an arc without an angle?


How do you calculate arc length without the angle?

  1. Divide the chord length by double the radius.
  2. Find the inverse sine of the result (in radians).
  3. Double the result of the inverse sine to get the central angle in radians.
  4. Once you have the central angle in radians, multiply it by the radius to get the arc length.

What are the types of circle?

Types of Circles – Concentric circles, Contact of circles, Orthogonal circles. A circle is a closed shape simple figure in which all the points lying on the surface of the circle joining its centre are equal and known as radius of the circle. A huge collection of circles is called a family of circles.

What is the longest chord?

Hence, Diameter is the longest chord.

Is 180 a major arc?

A major arc is the longer arc connecting two endpoints on a circle. The measure of a major arc is greater than 180° , and equal to 360° minus the measure of the minor arc with the same endpoints.