How To Find The Area Of A Circle Sector. Sector = ( pi * 20*20 ) * ( 145 / 360 ) output: To calculate the sector area , first calculate what fraction of a full turn the angle.

From the proportion we can easily find the final sector area formula: A sector has an angle of θ instead of 2 π so its area is : Then, the area of a sector of circle formula is calculated using the unitary method.

### As You Can Easily See, It Is Quite Similar To That Of A Circle, But Modified To Account For The Fact That A Sector Is Just A Part Of A Circle.

Find the area of a sector whose angle is given as π/2 radians and the radii of the circle is 8cm. Write the formula for the area of the sector in radians. 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.

### The Area Of A Circle = $$\Pi {R^2}$$.

Area of a sector area of a sector. Watch and learn how to find the area of a given sector of a circle. Then, the area of a sector of circle formula is calculated using the unitary method.

### This Tutorial Will First Show How To Identify What Fraction Of The Circle Is Occupied By.

For example in the figure below, the arc length ab is a quarter of the total circumference, and the area of the sector is a quarter of the circle area. For the given angle the area of a sector is represented by: Step 2 find area of circle sector using radius and angle values area a = πr²θ/360 = π x (5)² x 45/360 in² = 22 x 25 x 45/(7 x 360) in² = 24750/2520 in² area a = 9.8214 in² step 3 find length of circle sector using radius and angle values length l = 2πrθ/360 in = 2 x 22 x 5 x 45/(7 x 360) in = 9900/2520 in length l = 3.9286 in

### You Can Also Find The Area Of A Sector From Its Radius And Its Arc Length.

You can experiment with other proportions in the applet at the top of the. What is the formula for the area of a sector of a circle? The angle of the sector is 360°, area of the sector, i.e.

### Since, Angle Of Sector Is Less Than 180°, It Is A Minor Sector.

When angle of the sector is 360°, area of the sector i.e. $$\alpha$$ = angle of a sector r = radius of the sector. When the angle at the centre is 360°, area of the sector, i.e., the complete circle = πr² when the angle at the center is 1°, area of the sector = $$\frac{\pi.r ^{2}}{360^{0}}$$

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