Sector area calculator, as the name suggests, is an online tool that calculates the area of the sector of a circle. All it needs is; the radius and angle to find the area of sector.
This tool can be used to solve geometry problems related to circle. Moreover, it can be used to measure the land in sectors, and some cool things such slice of pizza or cake.
In this article, we will provide you a detailed explanation on sector of circle, how to use sector area calculator, sector definition, formula for sector of circle, how to find the area of a sector of a circle, and much more.
Area of a sector calculator provides an elegant and interactive interface to the users. To calculate sector area using this calculator, follow the steps below:
You will instantly get the area of sector with the step by step demonstration of the calculation. It also shows the formula that it used to find the sector of circle. Sector area calculator only finds the inner portion of circle. If you want to calculate the circumference of circle, you can use our circumference calculator anytime.
A circle sector or circular sector is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector. As you can see in the image below, θ is the central angle in radians, "\(\displaystyle L\)" is the arc length of the minor sector, and "\(\displaystyle r\)" is the radius of the circle, and. Wikipedia
The formula for finding the sector area of a circle is a simple equation that can be expressed as:
Area of sector of circle = πr^{2} × (θ / 360)
In this equation:
If you are pondering how to find the area of a sector, don’t exhaust yourself. We are here for you. The above area of sector calculator finds the circular sector area in no time and there is no doubt that. But, you should also be able to calculate it yourself, especially, if you are a student.
To find the area of a circular sector, follow the below steps:
Example:
Find the area of a sector of a circle having a radius of 12 cm and an angle of 45°.
Solution:
Step 1:
Write down the radius of circle and angle between arcs.
r = 12 cm, θ = 45°
Step 2:
Write down the sector area formula.
Area of sector of circle = πr^{2} × (θ / 360)
Step 3:
Substitute the values and calculate the area of a sector of a circle.
Area = 3.1415 × (12)^{2} × (45° / 360)
Area = 3.1415 × 144 × (45° / 360)
Area = 3240 cm^{2}
So, the sector area of a circle having a 12 cm radius and 45° angle will be 3240 cm^{2} approximately.
What will be the size of the pizza slice if the radius of the pizza is 20 cm and its central angle is 30°?
Solution:
Step 1:
Write down the radius of pizza and central angle.
r = 20 cm, θ = 30°
Step 2:
Write down the sector area formula.
Area of sector of circle = πr^{2} × (θ / 360)
Step 3:
Substitute the values and calculate the area of slice of pizza.
Area = 3.1415 × (20)^{2} × (30° / 360)
Area = 3.1415 × 400 × (30° / 360)
Area = 6000 cm^{2 }or 930 sq. inch
So, the sector area of a pizza slice having 20 cm radius and 30° angle will be 6000 cm^{2} approximately. You can use our area of a sector calculator to quickly find the area of a sector of a circle with steps and avoid manual calculations.
To find the area of a sector,
To find the area of a sector of the circle using an online calculator, follow the steps below:
Bingo! You have got the area of a sector of a circle without getting engaged in complex equations.
The formula for the area of a sector of a circle can be stated as:
Area of sector of circle = πr^{2} × (θ / 360)
Where, r represents the radius of the circle, θ is the angle between sector arcs, and π is a mathematical constant.
The area of a shaded sector can be calculated by the same method we calculate the area of a sector. To find the area of a shaded sector:
A minor sector of a circle is a sector that has the central angle of less than 180°. The measurement of the central angle of the minor sector cannot exceed 180°.
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