Area of the circle = pi*362 = 1296*pi Area of the sector = 30/360 of 1296*pi = 108*pi square units
From your question, we can't tell whether [ 64 pi ] is the area of the circleor the sector.The area of a circle is [ pi R2 ].If [ 64 pi ] is the area of the circle, then the radius is [ 8 ], and we don't careabout the sector.If [ 64 pi ] is the area of the sector, then the area of the full circle is [ 256 pi ](because the 90-degree sector is 1/4 of the circle), and the radius is [ 16 ].
the area of a sector = (angle)/360 x PI x radius x radius pi r squared
Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].
pi r square
Area of the circle = pi*362 = 1296*pi Area of the sector = 30/360 of 1296*pi = 108*pi square units
From your question, we can't tell whether [ 64 pi ] is the area of the circleor the sector.The area of a circle is [ pi R2 ].If [ 64 pi ] is the area of the circle, then the radius is [ 8 ], and we don't careabout the sector.If [ 64 pi ] is the area of the sector, then the area of the full circle is [ 256 pi ](because the 90-degree sector is 1/4 of the circle), and the radius is [ 16 ].
The area of the sector is a fraction of the area of the whole disk. So, we need to find the area of the whole disk and then multiply by the ratio of the sector size to the disk. The ratio is 2/3 pi out of a disk that is 2 pi all around (like any circle). Twos cancel, "pi"s cancel, so the sector is 1/3 of the disk. The disk's area is pi times (the radius squared). Pi times four. Well, to avoid using irrational numbers, the disk's area is 4 pi. The sector is 1/3 of 4 pi square feet, which is 4/3 pi square feet.
the area of a sector = (angle)/360 x PI x radius x radius pi r squared
Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].
pi r square
Area of whole circle = pi*r2 = 64*pi Area of Sector = Area of Whole Circle * Angle of Sector/Angle of Whole Circle = Area of Whole Circle * 120/360 = Area of Whole Circle / 3 = 64*pi/3 = 67.0 to the nearest tenth.
The area of the full circle is (pi R2) = (25 pi) square inches. The full circumference is (2 pi R) = (10 pi) inches. An arc length of 10 is [ 10/(10 pi) ] = ( 1 / pi ) of the full circle. So the area of the sector is (full area / pi) = (25 pi) / pi = 25 square inches
Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)
The area of the whole circle is pi*r2 = 25*pi To go any further, you need to assume that the central angle is given in degrees. If the sector is 18.0 degrees out of a circle of 360 degrees so the sector represents 18/360 = 1/20 of the whole circle. The area of the sector, therefore, is 1/20 of the area of the whole circle = 25*pi/20 = 5*pi/4 or 1.25*pi = 12.566 sq inches.
the formula for the area of a sector is measure of arc/360 times (pi)(radius squared) it should come out to be about 1.046 or 1.047, or 1/3(pi) the formula for the area of a sector is measure of arc/360 times (pi)(radius squared) it should come out to be about 1.046 or 1.047, or 1/3(pi)
Area of the sector is: (50/360)*pi*6 squared = 5*pi or about 15.708 rounded to 3 decimal places