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

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

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 sector with an angle and radius?

Explanation: If the central angle measures 60 degrees, divide the 360 total degrees in the circle by 60. Multiply this by the measure of the corresponding arc to find the total circumference of the circle. Use the circumference to find the radius, then use the radius to find the area.

What is the area of sector of a circle whose radius is R and length of arc is L?

The sum of angles of major and minor sector is 360°. Hence , the Area of sector = ( ½) lr sq units.

How do you find the area of a circle with an arc length?

Calculate the arc length according to the formula above: L = r * θ = 15 * π/4 = 11.78 cm . Calculate the area of a sector: A = r² * θ / 2 = 15² * π/4 / 2 = 88.36 cm² . You can also use the arc length calculator to find the central angle or the circle’s radius.

## What is 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, 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.

### How do you find the area of a sector with an angle?

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 area and perimeter of a sector?

We can find the perimeter of a sector using what we know about finding the length of an arc. A sector is formed between two radii and 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 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.

## How do you find area?

To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.

### How do you find the area of an arc?

Notice the angle formed by the two radii. Divide this angle by 360 to find out what portion of the circle it represents. For instance, if the angle is 45 degrees, divide 45 by 360 to get 0.125. Find the area of the circle by squaring the radius and multiplying that by 3.14 (pi).

How do you calculate the sector area of a circle?

The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: But where does it come from? You can find it by using proportions, all you need to remember is circle area formula (and we bet you do!): The area of a circle is calculated as A = πr².

How to calculate the semicircle area of a circle?

Semicircle area = Circle area / 2 = πr² / 2. Of course, you’ll get the same result when using sector area formula. Just remember that straight angle is π (180°): Semicircle area = α * r² / 2 = πr² / 2. Quadrant area: πr² / 4. As quadrant is a quarter of a circle, we can write the formula as:

## How do you find the radius of a circle?

With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see Fig. 12.28). Find the area of the shaded region (Use = 3.14 and 1.73205) A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle.

### How to calculate the Quadrant area of a circle?

As quadrant is a quarter of a circle, we can write the formula as: Quadrant area = Circle area / 4 = πr² / 4 Quadrant’s central angle is a right angle (π/2 or 90°), so you’ll quickly come to the same equation: Quadrant area = α * r² / 2 = πr² / 4