How To Find The Area Of A Sector With Arc Length And Radius

If the length of the arc of the sector is given instead of the angle of the sector there is a different way to calculate the area of the sector. Given that l 275 cm and area 61875 cm 2. Similarly below the arc length is half the circumference and the area id half the total circle.
how to find the area of a sector with arc length and radius

The total area of a circle is pr 2 corresponding to an angle of 2p radians for the full circle.

How to find the area of a sector with arc length and radius. If the angle is o then this is o2p the fraction of the full angle for a circle. 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. Find the radius central angle and perimeter of a sector whose arc length and area are 275 cm and 61875 cm 2 respectively. L r o 15 p4 1178 cm.

The formula for area a a of a circle with radius r and arc length l l is. Arc length is calculated by this formula. Calculate the arc length according to the formula above. Sector area is proportional to arc length the area enclosed by a sector is proportional to the arc length of the sector.

To calculate the area of a sector start by finding the central angle of the sector and dividing it by 360. For the radius of a circle equal to r units an arc of length r units will subtend 1 radian at the centre. A r l 2 a r l 2. Let the length of the arc be l.

Calculate the area of a sector. R is the radius of the circle of which the sector is part. Where o equals the measure of the central angle that intercepts the arc and r equals the length of the radius. Area of sector with respect to length of the arc.

So the area of the sector is this fraction multiplied by the total area of the circle. A r2 o 2 152 p4 2 8836 cm2. Whenever you want to find area of a sector of a circle a portion of the area you will use the sector area formula. As if you again look at this circle the area bounded between two radii and 1 is the area of sector whereas length from one point to another along a section of the curve is called arc length as in figure the distance from point a to b is arc length.

Next take the radius or length of one of the lines square it and multiply it by 314. Arc length and sector area you can also find the area of a sector from its radius and its arc length. You can also use the arc length calculator to find the central angle or the radius of the circle. How to calculate the area of a sector of a circle.

Then multiply the two numbers to get the area of the sector. Arc length r o.