How To Find The Area Of A Sector Of A Circle In Terms Of Pi

Then multiply the two numbers to get the area of the sector.

How to find the area of a sector of a circle in terms of pi. You can find it by using proportions all you need to remember is circle area formula and we bet you do. A common problem in geometry class is to have you calculate the area of a circle based on provided information. This is a great starting point. The formula is simple and only needs the radius of the circle to find its area.

The area of a circle is calculated as a pr2. The full angle is 2p in radians or 3600 in degrees the latter of which is the more common angle unit. Next take the radius or length of one of the lines square it and multiply it by 314. A stands for area p stands for pi and r is the radius of the circle the distance halfway across.

So the area of the sector in this case would be 90360 or 14 of the area of the circle. Since you know the angle of the segment you can then work out the. What is the area of the circle in terms of pi. Pir2 x360 so if sector with an arc of 40 degrees and radius of 3 needs an avenger to swoop in and calculate its area you know what to do.

A area of a sector. Example 1 work out the area of circle that has a radius of 7m giving your answer in terms of pi. 0 what is the area of the shaded sector rounded to the nearest whole number. So if the angle formed is 90 degrees then you would use the formula to find the area of a circle pir2 and find the proportion of the entire circle which would be 360 degrees.

All you need to do is substitute r 7 into a pr2. A r l 2 a r l 2. To calculate the area of a sector start by finding the central angle of the sector and dividing it by 360. Units2 2 see answers answer 47 5 97.

O central angle in degrees. Displaystyle api r 2. The following is the calculation formula for the area of a sector. Here is a three tier birthday cake 6 6 inches tall with a diameter of 10 10 inches.

Pi32 40360 pi. R radius of the circle. The radius is 6cm and the angle of sector is 120deg. P units2 what is the measure of the central angle of the shaded sector.

The formula for area a a of a circle with radius r and arc length l l is. You can also find the area of a sector from its radius and its arc length.