# How do you find the area of a sector of a circle?

## How do you find the area of a 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, and ‘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, and ‘r’ is the radius of the circle.

### How do you find the area of a sector step by step?

To calculate the area of a sector, start by finding the central angle of the sector and dividing it by 360. Next, take the radius, or length of one of the lines, square it, and multiply it by 3.14. Then, multiply the two numbers to get the area of the sector.

What is arc length and sector area?

To calculate arc length without radius, you need the central angle and the sector area: Multiply the area by 2 and divide the result by the central angle in radians. Multiply this root by the central angle again to get the arc length. The units will be the square root of the sector area units.

What is an example of a sector of a circle?

To recall, a sector is a portion of a circle enclosed between its two radii and the arc adjoining them. For example, a pizza slice is an example of a sector representing a fraction of the pizza. There are two types of sectors, minor and major sector.

## What is the area of a sector of a circle with a radius of 8 inches?

25.13 inch2
Answer: The area of the sector of the circle with a radius of 8 inches and an angle of 45 degrees is 25.13 inch2.

### How do you find the area of a sector of a circle with radius and central angle?

The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.

How do you find the area of a major sector?

Area of a sector In a circle with radius r and centre at O, let ∠POQ = θ (in degrees) be the angle of the sector. Then, the area of a sector of circle formula is calculated using the unitary method. Now the area of the sector for the above figure can be calculated as (1/8) (3.14×r×r).

What’s the area of the sector?

## How do you calculate the sector of a circle?

Remember, the area of a circle is πr2{\\displaystyle \\pi r^{2}}. When finding the area of a sector, you are really just calculating the area of the whole circle, and then multiplying by the fraction of the circle the sector represents.

### How do you calculate the area of a sector?

When finding the area of a sector, you are really just calculating the area of the whole circle, and then multiplying by the fraction of the circle the sector represents. A circle is 360 degrees, so when you place the measurement of the sector’s central angle over 360, it gives you the fraction of the whole circle.

What is the formula for the area of a circular sector?

The formula to find the area of a sector is A = N/360 x (pi x r^2). A sector is a section of a circle. In the formula given, A is the area of the sector, N is the degree of the central angle of the sector, pi is an irrational number that can be rounded to 3.14, and r is the length of the radius of the circle.

How do you find the area of a circle segment?

Since it is a fractional part of the circle, the area of any sector is found by multiplying the area of the circle, π × r2, by the fraction x/360, where x is the measure of the central angle formed by the two radii. The area of a sector is also used in finding the area of a segment.

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