Area of Sector Calculator
Area of a Sector Calculator: Actually, it is very tough to remember all the formulas in the geometry class. You need not worry as we are here to help you out with this problem. This handy tool displays the sector area of a circle within seconds. Just few taps are required to find the area using our online calculator. So, why to search for other resources, simply enter radius, angle at the specified input sections and press on the calculate button.
Here are some samples of Area of a Sector calculations
- Area of a Sector Radius 8 cm with 1.1 radians
- Area of a Sector Radius 4 cm with 32 degrees
- Area of a Sector Radius 7 yd with 178 degrees
- Area of a Sector Radius 9 cm with 2.3 radians
- Area of a Sector Radius 3 in with 12 degrees
- Area of a Sector Radius 5 cm with 1.7 radians
- Area of a Sector Radius 2 yd with 0.2 radians
- Area of a Sector Radius 6 yd with 0.2 radians
- Area of a Sector Radius 4 m with 32 degrees
- Area of a Sector Radius 9 m with 178 degrees
- Area of a Sector Radius 6 yd with 2.3 radians
- Area of a Sector Radius 8 in with 12 degrees
- Area of a Sector Radius 5 m with 1.7 radians
- Area of a Sector Radius 2 cm with 0.2 radians
- Area of a Sector Radius 3 m with 0.2 radians
- Area of a Sector Radius 7 cm with 64 degrees
- Area of a Sector Radius 7 yd with 2.7 radians
- Area of a Sector Radius 9 ft with 43 degrees
- Area of a Sector Radius 3 m with 1.5 radians
- Area of a Sector Radius 5 yd with 148 degrees
- Area of a Sector Radius 37 in with 71 degrees
- Area of a Sector Radius 38 cm with 1.2 radians
- Area of a Sector Radius 54 ft with 66 degrees
- Area of a Sector Radius 14 cm with 2.8 radians
- Area of a Sector Radius 10 m with 2.6 radians
- Area of a Sector Radius 83 in with 1.4 radians
- Area of a Sector Radius 78 m with 95 degrees
- Area of a Sector Radius 92 yd with 3 degrees
- Area of a Sector Radius 84 yd with 46 degrees
- Area of a Sector Radius 42 yd with 52 degrees
- Area of a Sector Radius 14 cm with 43 degrees
- Area of a Sector Radius 90 in with 1.5 radians
- Area of a Sector Radius 44 in with 148 degrees
- Area of a Sector Radius 46 in with 3 radians
- Area of a Sector Radius 51 yd with 114 degrees
- Area of a Sector Radius 70 yd with 1.3 radians
- Area of a Sector Radius 11 yd with 101 degrees
- Area of a Sector Radius 49 cm with 0.8 radians
- Area of a Sector Radius 51 m with 0.3 radians
- Area of a Sector Radius 31 in with 113 degrees
In this page, you can find what are the steps to calculate the area of a sector, its formula, and solved example sections.
Area of a Sector of a Circle Formula
The area of a sector is basically defined as the number of square units required exactly to fill the sector of a circle. The formula to find those square units is listed here
If angle is in radians,
Area of a sector a = r² * α / 2
If angle is in degrees, then
Area a = (α) / (360°) * πr²
Where, r is the radius of the circle
α is the angle between the radius and sector
Manual Process to Find Area of a Sector
Below are some guidelines which are useful for you to evaluate the area of a sector of circle effortlessly. Check out the instructions and follow them carefully to get the exact answer.
- Read the question attentively and make a note of the radius and angle.
- Do half of the angle value which is in radians or degrees.
- Square the given radius value and multiply the obtained value with the half of angle.
- Finally outcome is the exact sector area.
Area of a Sector Solved Examples
Example 1: Find the area of a section with radius 4 m and angle 45°?
Solution:
Given that,
Radius r = 4 m
Angle α = 45°
Area of sector = (α) / (360°) * πr²
= (45°) / (360°) * π * 4²
= 0.125 * 3.14 * 4 * 4
= 6.28
∴ Area of sector is 6.28 m²
Example 2: A sector with an area 48π cm² has radius of 16 cm. What is the central angle measure of the sector in radians?
Solution:
Given that,
Area of sector a = 48π cm²
radius r = 16 cm
Area of a sector = r² * α / 2
48π = 16² * α / 2
48π * 2 = 16 * 16 * α
96π = 256 * α
α = 256 / 96π
= (256 * 7) / (96 * 22) = 1792 / 2112
= 0.848 or 3π / 8
FAQS on Area of a Sector Calculator
1. What is the formula for area of a sector?
Sector area = (πr²) × (central angle in degrees / 360°). If the central angle is measured in radians.
Sector area = r² × (central angle in radians / 2). If the central angle is measured in degrees.
2. If the length of the arc of a circle with radius 16 units is 5 units, the area of the sector corresponding to that arc?
Area = (l * r) / 2
= (16 * 5) / 2
= 8 * 5 = 40 square units
3. What are the examples of sector area?
The real time examples of a sector area is slice of a cake piece separated from the birthday party cake. From the whole pizza, a part of the pizza separated from the original one, others.
4. Where can I get the best tools to find the sector area of a circle?
You can get the best online tools for calculating the sector area of an circle at trusted and genuine website Areavolumecalculator.com