Area of sector: 38.485 sq ft
Area of circle: 153.93804 sq ft
Arc in degrees: (38.485/153.93804)*360 = 90.00114592 or about 90 degrees
Arc in feet: 10.99557429 or about 11 feet
the area of a sector = (angle)/360 x PI x radius x radius pi r squared
The area of the sector of a circle with a radius of 2 inches and an arc of 60 degrees: 2.094 square inches.
The radius is 8 feet.
The area of a circle is derived from Pi x r2 where Pi = 3.14 and r = the radius, therefore a circle with an area of 662.89 has a radius of 14.5
Well...a "sector" is part of a circle...which has a radius. But in order to calculate the radius, you'd need both the total area of the circle, and the central angle of the sector (or enough information to get the central angle). Let's say you're looking at a clock (and let's assume both the minute hand and the hour hand are the same length, and extend from the center all the way to the edge of the clock). Assuming this, the length of both hands would be the radius, as they are segments whose endpoints are the center of the circle, and a point on the circle. If you put the hands of the clock at the 12 and 3, you've just created a sector that is 1/4 of the entire area. The angle created by these hands would have a vertex that is the center of the circle...and this would be the "central angle"...and it would have a measure of 1/4 of 360...which is 90. But...while you can say what "fraction" of the circle is encompassed by the sector, you can't do any calculations until you have somewhere to start from. Let's say in the above example, you knew that the entire area of the circle was 64pi. The radius of that circle would be the square root of 64=8. This would, obviously be the radius of the sector as well...but since our "central angle" was 90...the AREA of the sector is 90/360 (or 1/4) of the total area. Since our initial area was 64pi...the area of the sector would be 16pi. But if all you want is a simple formula, the radius of a circle (and by extension the sector), given the area of the sector (s) and the measure of the central angle (c) would be the square root of [(360*s)/(c*pi)]
For A+ it's 20
It depends on what else is known about the sector: length of arc, area or some other measure.
pi times the radius squared times the measure of the arc divided by 360
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)
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector
Radius is 9 so area of complete circle (360o) is 81 x 3.14 ie 254.34. Angle of sector is therefore 360 x 169.56/254.34 which is 240o
the area of a sector = (angle)/360 x PI x radius x radius pi r squared
6.5
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
if given the central angle and the area of the circle, then by proportion: Given angle / sector area = 360 / Entire area, then solve for the sector area
Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o
The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.